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22314134100 = 22352292564843
BaseRepresentation
bin10100110010000001…
…101010101001010100
32010121002222110110010
4110302001222221110
5331144404242400
614130113200220
71416652003356
oct246201525124
963532873403
1022314134100
119510824245
1243a8b60070
132147c5b25b
1411197930d6
158a8ed0450
hex53206aa54

22314134100 has 72 divisors (see below), whose sum is σ = 66788537760. Its totient is φ = 5745246080.

The previous prime is 22314134077. The next prime is 22314134107. The reversal of 22314134100 is 143141322.

It is a super-3 number, since 3×223141341003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314134107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273722 + ... + 1291121.

It is an arithmetic number, because the mean of its divisors is an integer number (927618580).

Almost surely, 222314134100 is an apocalyptic number.

22314134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314134100 is an abundant number, since it is smaller than the sum of its proper divisors (44474403660).

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

22314134100 is a wasteful number, since it uses less digits than its factorization.

22314134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564889 (or 2564882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22314134100 its reverse (143141322), we get a palindrome (22457275422).

The spelling of 22314134100 in words is "twenty-two billion, three hundred fourteen million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 2564843 5129686 7694529 10259372 12824215 15389058 25648430 30778116 38472645 51296860 64121075 74380447 76945290 128242150 148760894 153890580 192363225 223141341 256484300 297521788 371902235 384726450 446282682 743804470 769452900 892565364 1115706705 1487608940 1859511175 2231413410 3719022350 4462826820 5578533525 7438044700 11157067050 22314134100