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225951282 = 23411812
BaseRepresentation
bin11010111011110…
…11111000110010
3120202011111220000
431131323320302
5430320420112
634230530430
75412361044
oct1535737062
9522144800
10225951282
111065a85a7
1263806a16
1337a724ab
1422019a94
1514c837dc
hexd77be32

225951282 has 30 divisors (see below), whose sum is σ = 506727309. Its totient is φ = 75253320.

The previous prime is 225951277. The next prime is 225951293. The reversal of 225951282 is 282159522.

It can be written as a sum of positive squares in 2 ways, for example, as 175271121 + 50680161 = 13239^2 + 7119^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10629.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 190732 + ... + 191912.

Almost surely, 2225951282 is an apocalyptic number.

225951282 is an abundant number, since it is smaller than the sum of its proper divisors (280776027).

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

225951282 is an frugal number, since it uses more digits than its factorization.

225951282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 1186 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 225951282 is about 15031.6759544636. The cubic root of 225951282 is about 609.0761631552.

Multiplying 225951282 by its product of digits (28800), we get a square (6507396921600 = 25509602).

The spelling of 225951282 in words is "two hundred twenty-five million, nine hundred fifty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1181 2362 3543 7086 10629 21258 31887 63774 95661 191322 1394761 2789522 4184283 8368566 12552849 25105698 37658547 75317094 112975641 225951282