Search a number
-
+
214211110000 = 245429225471
BaseRepresentation
bin1100011101111111111…
…0100010010001110000
3202110220201222212112211
43013133332202101300
512002201021010000
6242223543301504
721322231251406
oct3073776422160
9673821885484
10214211110000
1182934650508
1235622a4a894
131727a5a51c4
14a52162d476
15588ada87ba
hex31dffa2470

214211110000 has 150 divisors (see below), whose sum is σ = 537147957632. Its totient is φ = 82726560000.

The previous prime is 214211109997. The next prime is 214211110013. The reversal of 214211110000 is 11112412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8397265 + ... + 8422735.

Almost surely, 2214211110000 is an apocalyptic number.

214211110000 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 214211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268573978816).

214211110000 is an abundant number, since it is smaller than the sum of its proper divisors (322936847632).

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

214211110000 is an equidigital number, since it uses as much as digits as its factorization.

214211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25557 (or 25507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 214211110000 its reverse (11112412), we get a palindrome (214222222412).

The spelling of 214211110000 in words is "two hundred fourteen billion, two hundred eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 841 1000 1160 1250 1450 1682 2000 2320 2500 2900 3364 3625 4205 5000 5800 6728 7250 8410 10000 11600 13456 14500 16820 18125 21025 25471 29000 33640 36250 42050 50942 58000 67280 72500 84100 101884 105125 127355 145000 168200 203768 210250 254710 290000 336400 407536 420500 509420 525625 636775 738659 841000 1018840 1051250 1273550 1477318 1682000 2037680 2102500 2547100 2954636 3183875 3693295 4205000 5094200 5909272 6367750 7386590 8410000 10188400 11818544 12735500 14773180 15919375 18466475 21421111 25471000 29546360 31838750 36932950 42842222 50942000 59092720 63677500 73865900 85684444 92332375 107105555 127355000 147731800 171368888 184664750 214211110 254710000 295463600 342737776 369329500 428422220 461661875 535527775 738659000 856844440 923323750 1071055550 1477318000 1713688880 1846647500 2142111100 2677638875 3693295000 4284222200 5355277750 7386590000 8568444400 10710555500 13388194375 21421111000 26776388750 42842222000 53552777500 107105555000 214211110000