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23117072 = 24111931223
BaseRepresentation
bin101100000101…
…1110100010000
31121111110122212
41120023310100
521404221242
62143251252
7400330466
oct130136420
947443585
1023117072
111205a220
1278a9b28
134a35154
1430da836
152069782
hex160bd10

23117072 has 80 divisors (see below), whose sum is σ = 53329920. Its totient is φ = 9590400.

The previous prime is 23117051. The next prime is 23117099. The reversal of 23117072 is 27071132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103553 + ... + 103775.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

Almost surely, 223117072 is an apocalyptic number.

23117072 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 23117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26664960).

23117072 is an abundant number, since it is smaller than the sum of its proper divisors (30212848).

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

23117072 is a wasteful number, since it uses less digits than its factorization.

23117072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 23117072 is about 4808.0216305670. The cubic root of 23117072 is about 284.8683992808.

The spelling of 23117072 in words is "twenty-three million, one hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 223 248 304 341 418 446 496 589 682 836 892 1178 1364 1672 1784 2356 2453 2728 3344 3568 4237 4712 4906 5456 6479 6913 8474 9424 9812 12958 13826 16948 19624 25916 27652 33896 39248 46607 51832 55304 67792 76043 93214 103664 110608 131347 152086 186428 262694 304172 372856 525388 608344 745712 1050776 1216688 1444817 2101552 2889634 5779268 11558536 23117072