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22327355904 = 293783127197
BaseRepresentation
bin10100110010110100…
…000110101000000000
32010122000212012100120
4110302310012220000
5331211300342104
614131304420240
71420202252040
oct246264065000
963560765316
1022327355904
119518234a57
1243b1477680
13214a90a3c9
14111b435720
158aa242cd9
hex532d06a00

22327355904 has 320 divisors, whose sum is σ = 69691539456. Its totient is φ = 6221021184.

The previous prime is 22327355893. The next prime is 22327355917. The reversal of 22327355904 is 40955372322.

It is a happy number.

It is a super-3 number, since 3×223273559043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 113336734 + ... + 113336930.

Almost surely, 222327355904 is an apocalyptic number.

22327355904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22327355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34845769728).

22327355904 is an abundant number, since it is smaller than the sum of its proper divisors (47364183552).

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

22327355904 is a wasteful number, since it uses less digits than its factorization.

22327355904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 22327355904 in words is "twenty-two billion, three hundred twenty-seven million, three hundred fifty-five thousand, nine hundred four".