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225970056 = 233213241421
BaseRepresentation
bin11010111100000…
…00011110001000
3120202012110122100
431132000132020
5430322020211
634231153400
75412466554
oct1536003610
9522173570
10225970056
11106610714
1263815860
1337a7abc0
1422022864
1514c89156
hexd780788

225970056 has 48 divisors (see below), whose sum is σ = 659082060. Its totient is φ = 69528960.

The previous prime is 225970051. The next prime is 225970057. The reversal of 225970056 is 650079522.

225970056 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 2 ways, for example, as 220522500 + 5447556 = 14850^2 + 2334^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225970056.

It is not an unprimeable number, because it can be changed into a prime (225970051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119775 + ... + 121646.

Almost surely, 2225970056 is an apocalyptic number.

225970056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225970056 is an abundant number, since it is smaller than the sum of its proper divisors (433112004).

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

225970056 is a wasteful number, since it uses less digits than its factorization.

225970056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241446 (or 241439 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 225970056 is about 15032.3004227563. The cubic root of 225970056 is about 609.0930318050.

The spelling of 225970056 in words is "two hundred twenty-five million, nine hundred seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 241421 482842 724263 965684 1448526 1931368 2172789 2897052 3138473 4345578 5794104 6276946 8691156 9415419 12553892 17382312 18830838 25107784 28246257 37661676 56492514 75323352 112985028 225970056