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22374029056 = 282337102701
BaseRepresentation
bin10100110101100110…
…001001011100000000
32010202021200102212211
4110311212021130000
5331310222412211
614140053031504
71421310052261
oct246546113400
963667612784
1022374029056
119541613205
124405025594
13215749c462
141123704968
158ae3b1e21
hex535989700

22374029056 has 72 divisors (see below), whose sum is σ = 47862418464. Its totient is φ = 10411315200.

The previous prime is 22374029011. The next prime is 22374029059. The reversal of 22374029056 is 65092047322.

It is a super-2 number, since 2×223740290562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22374029059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166506 + ... + 269206.

It is an arithmetic number, because the mean of its divisors is an integer number (664755812).

Almost surely, 222374029056 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 22374029056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23931209232).

22374029056 is an abundant number, since it is smaller than the sum of its proper divisors (25488389408).

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

22374029056 is a wasteful number, since it uses less digits than its factorization.

22374029056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102777 (or 102763 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 22374029056 in words is "twenty-two billion, three hundred seventy-four million, twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 256 296 368 592 736 851 1184 1472 1702 2368 2944 3404 4736 5888 6808 9472 13616 27232 54464 102701 108928 205402 217856 410804 821608 1643216 2362123 3286432 3799937 4724246 6572864 7599874 9448492 13145728 15199748 18896984 26291456 30399496 37793968 60798992 75587936 87398551 121597984 151175872 174797102 243195968 302351744 349594204 486391936 604703488 699188408 972783872 1398376816 2796753632 5593507264 11187014528 22374029056