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23227454688 = 25317127112067
BaseRepresentation
bin10101101000011101…
…101101010011100000
32012221202112221202120
4111220131231103200
5340032212022223
614400500544240
71451412051534
oct255035552340
965852487676
1023227454688
11993a324549
1246029b2080
132262239a39
1411a4bb9bc4
1590e28dbe3
hex56876d4e0

23227454688 has 96 divisors (see below), whose sum is σ = 65067577344. Its totient is φ = 7229601792.

The previous prime is 23227454683. The next prime is 23227454689. The reversal of 23227454688 is 88645472232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 23227454688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23227454683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151231 + ... + 263297.

It is an arithmetic number, because the mean of its divisors is an integer number (677787264).

Almost surely, 223227454688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23227454688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32533788672).

23227454688 is an abundant number, since it is smaller than the sum of its proper divisors (41840122656).

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

23227454688 is a wasteful number, since it uses less digits than its factorization.

23227454688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112224 (or 112216 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 23227454688 in words is "twenty-three billion, two hundred twenty-seven million, four hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 1016 1524 1632 2032 2159 3048 4064 4318 6096 6477 8636 12192 12954 17272 25908 34544 51816 69088 103632 112067 207264 224134 336201 448268 672402 896536 1344804 1793072 1905139 2689608 3586144 3810278 5379216 5715417 7620556 10758432 11430834 14232509 15241112 22861668 28465018 30482224 42697527 45723336 56930036 60964448 85395054 91446672 113860072 170790108 182893344 227720144 241952653 341580216 455440288 483905306 683160432 725857959 967810612 1366320864 1451715918 1935621224 2903431836 3871242448 5806863672 7742484896 11613727344 23227454688