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225210537 = 3415971741
BaseRepresentation
bin11010110110001…
…11000010101001
3120200202212210000
431123013002221
5430123214122
634203013213
75403154326
oct1533070251
9520685700
10225210537
11106142012
126350a209
1337873296
1421ca5b4d
1514b890ac
hexd6c70a9

225210537 has 20 divisors (see below), whose sum is σ = 336829636. Its totient is φ = 149960160.

The previous prime is 225210529. The next prime is 225210547. The reversal of 225210537 is 735012522.

225210537 is digitally balanced in base 2, 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 2 ways, for example, as 13682601 + 211527936 = 3699^2 + 14544^2 .

It is not a de Polignac number, because 225210537 - 23 = 225210529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225210537.

It is not an unprimeable number, because it can be changed into a prime (225210547) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128487 + ... + 130227.

Almost surely, 2225210537 is an apocalyptic number.

225210537 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225210537 is a deficient number, since it is larger than the sum of its proper divisors (111619099).

225210537 is a wasteful number, since it uses less digits than its factorization.

225210537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225210537 is about 15007.0162590703. The cubic root of 225210537 is about 608.4098483520.

The spelling of 225210537 in words is "two hundred twenty-five million, two hundred ten thousand, five hundred thirty-seven".

Divisors: 1 3 9 27 81 1597 1741 4791 5223 14373 15669 43119 47007 129357 141021 2780377 8341131 25023393 75070179 225210537