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22334416104 = 23371113929671
BaseRepresentation
bin10100110011001111…
…000010010011101000
32010122112010220010110
4110303033002103220
5331220102303404
614132120014320
71420316255520
oct246317022350
963575126113
1022334416104
119521217430
1243b39013a0
13214c20cb40
14111c352680
158aab89b89
hex5333c24e8

22334416104 has 128 divisors (see below), whose sum is σ = 74968750080. Its totient is φ = 5354899200.

The previous prime is 22334416099. The next prime is 22334416123. The reversal of 22334416104 is 40161443322.

It is a super-2 number, since 2×223344161042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440812 + ... + 488859.

It is an arithmetic number, because the mean of its divisors is an integer number (585693360).

Almost surely, 222334416104 is an apocalyptic number.

22334416104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22334416104 is an abundant number, since it is smaller than the sum of its proper divisors (52634333976).

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

22334416104 is a wasteful number, since it uses less digits than its factorization.

22334416104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929711 (or 929707 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22334416104 its reverse (40161443322), we get a palindrome (62495859426).

The spelling of 22334416104 in words is "twenty-two billion, three hundred thirty-four million, four hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 929671 1859342 2789013 3718684 5578026 6507697 7437368 10226381 11156052 12085723 13015394 19523091 20452762 22312104 24171446 26030788 30679143 36257169 39046182 40905524 48342892 52061576 61358286 71584667 72514338 78092364 81811048 84600061 96685784 122716572 132942953 143169334 145028676 156184728 169200122 214754001 245433144 253800183 265885906 286338668 290057352 338400244 398828859 429508002 507600366 531771812 572677336 676800488 797657718 859016004 930600671 1015200732 1063543624 1595315436 1718032008 1861201342 2030401464 2791802013 3190630872 3722402684 5583604026 7444805368 11167208052 22334416104