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225656032 = 2578531181
BaseRepresentation
bin11010111001100…
…11110011100000
3120201121111212211
431130303303200
5430231443112
634220331504
75410021210
oct1534636340
9521544784
10225656032
11106416798
12636a3b94
133799aca4
1421d80240
1514c260a7
hexd733ce0

225656032 has 48 divisors (see below), whose sum is σ = 508751712. Its totient is φ = 96514560.

The previous prime is 225655987. The next prime is 225656063. The reversal of 225656032 is 230656522.

It is a junction number, because it is equal to n+sod(n) for n = 225655985 and 225656003.

It is a congruent number.

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, 190482 + ... + 191662.

It is an arithmetic number, because the mean of its divisors is an integer number (10598994).

Almost surely, 2225656032 is an apocalyptic number.

It is an amenable number.

225656032 is an abundant number, since it is smaller than the sum of its proper divisors (283095680).

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

225656032 is a wasteful number, since it uses less digits than its factorization.

225656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 225656032 is about 15021.8518166037. The cubic root of 225656032 is about 608.8107547300.

The spelling of 225656032 in words is "two hundred twenty-five million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 853 1181 1706 2362 3412 4724 5971 6824 8267 9448 11942 13648 16534 18896 23884 27296 33068 37792 47768 66136 95536 132272 191072 264544 1007393 2014786 4029572 7051751 8059144 14103502 16118288 28207004 32236576 56414008 112828016 225656032