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216227653556700 = 2235241113831544363
BaseRepresentation
bin110001001010100001101100…
…011110110001100111011100
31001100121011100221201210002010
4301022201230132301213130
5211320133213302303300
62043513340203231220
763354634553542512
oct6112415436614734
91040534327653063
10216227653556700
11629956a6431405
122030244b818510
139386245ca4a56
143b5768d5904b2
1519ee89e020a50
hexc4a86c7b19dc

216227653556700 has 144 divisors (see below), whose sum is σ = 640934386073856. Its totient is φ = 56249370508800.

The previous prime is 216227653556671. The next prime is 216227653556723. The reversal of 216227653556700 is 7655356722612.

216227653556700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2162276535567002 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139238719 + ... + 140783081.

It is an arithmetic number, because the mean of its divisors is an integer number (4450933236624).

Almost surely, 2216227653556700 is an apocalyptic number.

216227653556700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216227653556700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320467193036928).

216227653556700 is an abundant number, since it is smaller than the sum of its proper divisors (424706732517156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216227653556700 is a wasteful number, since it uses less digits than its factorization.

216227653556700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555804 (or 1555797 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 57.

The spelling of 216227653556700 in words is "two hundred sixteen trillion, two hundred twenty-seven billion, six hundred fifty-three million, five hundred fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 11383 12300 22766 34149 45532 56915 68298 113830 136596 170745 227660 284575 341490 466703 569150 682980 853725 933406 1138300 1400109 1544363 1707450 1866812 2333515 2800218 3088726 3414900 4633089 4667030 5600436 6177452 7000545 7721815 9266178 9334060 11667575 14001090 15443630 18532356 23165445 23335150 28002180 30887260 35002725 38609075 46330890 46670300 63318883 70005450 77218150 92661780 115827225 126637766 140010900 154436300 189956649 231654450 253275532 316594415 379913298 463308900 633188830 759826596 949783245 1266377660 1582972075 1899566490 3165944150 3799132980 4748916225 6331888300 9497832450 17579484029 18995664900 35158968058 52738452087 70317936116 87897420145 105476904174 175794840290 210953808348 263692260435 351589680580 439487100725 527384520870 720758845189 878974201450 1054769041740 1318461302175 1441517690378 1757948402900 2162276535567 2636922604350 2883035380756 3603794225945 4324553071134 5273845208700 7207588451890 8649106142268 10811382677835 14415176903780 18018971129725 21622765355670 36037942259450 43245530711340 54056913389175 72075884518900 108113826778350 216227653556700