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225715104 = 2532783733
BaseRepresentation
bin11010111010000…
…10001110100000
3120201201111220200
431131002032200
5430240340404
634221505200
75410355346
oct1535021640
9521644820
10225715104
1110645710a
1263712200
13379bbb44
1421d97996
1514c38839
hexd7423a0

225715104 has 36 divisors (see below), whose sum is σ = 641878146. Its totient is φ = 75238272.

The previous prime is 225715093. The next prime is 225715111. The reversal of 225715104 is 401517522.

225715104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 167650704 + 58064400 = 12948^2 + 7620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391579 + ... + 392154.

Almost surely, 2225715104 is an apocalyptic number.

225715104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225715104 is an abundant number, since it is smaller than the sum of its proper divisors (416163042).

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

225715104 is a wasteful number, since it uses less digits than its factorization.

225715104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783749 (or 783738 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 225715104 is about 15023.8178902701. The cubic root of 225715104 is about 608.8638747092.

The spelling of 225715104 in words is "two hundred twenty-five million, seven hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 783733 1567466 2351199 3134932 4702398 6269864 7053597 9404796 12539728 14107194 18809592 25079456 28214388 37619184 56428776 75238368 112857552 225715104