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113225728 = 212711359
BaseRepresentation
bin1101011111110…
…11000000000000
321220001110111111
412233323000000
5212441210403
615122453104
72543255110
oct657730000
9256043444
10113225728
1158a05190
1231b04194
131a5c4695
1411075040
159e1856d
hex6bfb000

113225728 has 104 divisors (see below), whose sum is σ = 283080960. Its totient is φ = 43991040.

The previous prime is 113225713. The next prime is 113225741. The reversal of 113225728 is 827522311.

It is a super-2 number, since 2×1132257282 = 25640130962259968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113225728.

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, 315213 + ... + 315571.

Almost surely, 2113225728 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 113225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

113225728 is an abundant number, since it is smaller than the sum of its proper divisors (169855232).

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

113225728 is an equidigital number, since it uses as much as digits as its factorization.

113225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 113225728 is about 10640.7578677461. The cubic root of 113225728 is about 483.7805165622.

The spelling of 113225728 in words is "one hundred thirteen million, two hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 359 448 512 616 704 718 896 1024 1232 1408 1436 1792 2048 2464 2513 2816 2872 3584 3949 4096 4928 5026 5632 5744 7168 7898 9856 10052 11264 11488 14336 15796 19712 20104 22528 22976 27643 28672 31592 39424 40208 45056 45952 55286 63184 78848 80416 91904 110572 126368 157696 160832 183808 221144 252736 315392 321664 367616 442288 505472 643328 735232 884576 1010944 1286656 1470464 1769152 2021888 2573312 3538304 4043776 5146624 7076608 8087552 10293248 14153216 16175104 28306432 56612864 113225728