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22623113952 = 2532194134341
BaseRepresentation
bin10101000100011100…
…010101001011100000
32011101122101021010100
4111010130111023200
5332313004121302
614220511502400
71430423203305
oct250434251340
964348337110
1022623113952
11965a18139a
124474527a00
132196c8147a
1411488230ac
158c61b4d1c
hex5447152e0

22623113952 has 72 divisors (see below), whose sum is σ = 67720521960. Its totient is φ = 7144139520.

The previous prime is 22623113917. The next prime is 22623113959. The reversal of 22623113952 is 25931132622.

22623113952 is a `hidden beast` number, since 2 + 262 + 3 + 1 + 1 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22623113959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2061699 + ... + 2072642.

It is an arithmetic number, because the mean of its divisors is an integer number (940562805).

Almost surely, 222623113952 is an apocalyptic number.

It is an amenable number.

22623113952 is an abundant number, since it is smaller than the sum of its proper divisors (45097408008).

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

22623113952 is a wasteful number, since it uses less digits than its factorization.

22623113952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134376 (or 4134365 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 22623113952 in words is "twenty-two billion, six hundred twenty-three million, one hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 4134341 8268682 12403023 16537364 24806046 33074728 37209069 49612092 66149456 74418138 78552479 99224184 132298912 148836276 157104958 198448368 235657437 297672552 314209916 396896736 471314874 595345104 628419832 706972311 942629748 1190690208 1256839664 1413944622 1885259496 2513679328 2827889244 3770518992 5655778488 7541037984 11311556976 22623113952