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22114223300 = 225213412711531
BaseRepresentation
bin10100100110000111…
…000100010011000100
32010002011210221101102
4110212013010103010
5330242220121200
614054212315232
71412003540141
oct244607042304
963064727342
1022114223300
1194189a2304
124352012b18
132115705740
1410dadd53c8
158966926d5
hex5261c44c4

22114223300 has 144 divisors (see below), whose sum is σ = 53169763584. Its totient is φ = 7931520000.

The previous prime is 22114223297. The next prime is 22114223317. The reversal of 22114223300 is 332241122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14443535 + ... + 14445065.

Almost surely, 222114223300 is an apocalyptic number.

22114223300 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 22114223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26584881792).

22114223300 is an abundant number, since it is smaller than the sum of its proper divisors (31055540284).

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

22114223300 is a wasteful number, since it uses less digits than its factorization.

22114223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22114223300 its reverse (332241122), we get a palindrome (22446464422).

It can be divided in two parts, 221142 and 23300, that added together give a palindrome (244442).

The spelling of 22114223300 in words is "twenty-two billion, one hundred fourteen million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 271 325 410 533 542 650 820 1025 1066 1084 1300 1355 1531 2050 2132 2665 2710 3062 3523 4100 5330 5420 6124 6775 7046 7655 10660 11111 13325 13550 14092 15310 17615 19903 22222 26650 27100 30620 35230 38275 39806 44444 53300 55555 62771 70460 76550 79612 88075 99515 111110 125542 144443 153100 176150 199030 222220 251084 277775 288886 313855 352300 398060 414901 497575 555550 577772 627710 722215 816023 829802 995150 1111100 1255420 1444430 1569275 1632046 1659604 1990300 2074505 2888860 3138550 3264092 3611075 4080115 4149010 5393713 6277100 7222150 8160230 8298020 10372525 10787426 14444300 16320460 17010941 20400575 20745050 21574852 26968565 34021882 40801150 41490100 53937130 68043764 81602300 85054705 107874260 134842825 170109410 221142233 269685650 340218820 425273525 442284466 539371300 850547050 884568932 1105711165 1701094100 2211422330 4422844660 5528555825 11057111650 22114223300