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22160292 = 22371129827
BaseRepresentation
bin101010010001…
…0001110100100
31112200212012120
41110202032210
521133112132
62110545540
7356234160
oct124421644
945625176
1022160292
11115663a0
1275082b0
13478b7cb
142d2bca0
151e2b02c
hex15223a4

22160292 has 96 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 5550720.

The previous prime is 22160291. The next prime is 22160311. The reversal of 22160292 is 29206122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22160291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26383 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 222160292 is an apocalyptic number.

22160292 is a gapful number since it is divisible by the number (22) 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 22160292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

22160292 is an abundant number, since it is smaller than the sum of its proper divisors (44609628).

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

22160292 is a wasteful number, since it uses less digits than its factorization.

22160292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22160292 is about 4707.4719330018. The cubic root of 22160292 is about 280.8828089143.

The spelling of 22160292 in words is "twenty-two million, one hundred sixty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 827 924 957 1218 1276 1654 1914 2233 2436 2481 3308 3828 4466 4962 5789 6699 8932 9097 9924 11578 13398 17367 18194 23156 23983 26796 27291 34734 36388 47966 54582 63679 69468 71949 95932 109164 127358 143898 167881 191037 254716 263813 287796 335762 382074 503643 527626 671524 764148 791439 1007286 1055252 1582878 1846691 2014572 3165756 3693382 5540073 7386764 11080146 22160292