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22939296 = 253435557
BaseRepresentation
bin101011110000…
…0011010100000
31121011102210120
41113200122200
521333024141
62135400240
7365660262
oct127403240
947142716
1022939296
1111a486a6
127823080
1349a2263
143091b32
152031c66
hex15e06a0

22939296 has 48 divisors (see below), whose sum is σ = 61627104. Its totient is φ = 7467264.

The previous prime is 22939283. The next prime is 22939321. The reversal of 22939296 is 69293922.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×229392962 = 1052422601951232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1350 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (1283898).

Almost surely, 222939296 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 22939296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813552).

22939296 is an abundant number, since it is smaller than the sum of its proper divisors (38687808).

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

22939296 is a wasteful number, since it uses less digits than its factorization.

22939296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5605 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 22939296 is about 4789.4985123706. The cubic root of 22939296 is about 284.1362831993.

The spelling of 22939296 in words is "twenty-two million, nine hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 5557 11114 16671 22228 33342 44456 66684 88912 133368 177824 238951 266736 477902 533472 716853 955804 1433706 1911608 2867412 3823216 5734824 7646432 11469648 22939296