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253228968 = 233227712697
BaseRepresentation
bin11110001011111…
…11011110101000
3122122111100211200
433011333132220
51004311311333
641043324200
76163260606
oct1705773650
9578440750
10253228968
1111aa39743
1270980660
1340603335
14258ba876
1517370c13
hexf17f7a8

253228968 has 48 divisors (see below), whose sum is σ = 688358580. Its totient is φ = 84098304.

The previous prime is 253228961. The next prime is 253228981. The reversal of 253228968 is 869822352.

It is a happy number.

253228968 is a `hidden beast` number, since 2 + 532 + 28 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225540324 + 27688644 = 15018^2 + 5262^2 .

It is not an unprimeable number, because it can be changed into a prime (253228961) 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, 13596 + ... + 26292.

Almost surely, 2253228968 is an apocalyptic number.

It is an amenable number.

253228968 is an abundant number, since it is smaller than the sum of its proper divisors (435129612).

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

253228968 is a wasteful number, since it uses less digits than its factorization.

253228968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12986 (or 12979 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 253228968 is about 15913.1696402697. The cubic root of 253228968 is about 632.6610945360.

The spelling of 253228968 in words is "two hundred fifty-three million, two hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 3324 4986 6648 9972 12697 19944 25394 38091 50788 76182 101576 114273 152364 228546 304728 457092 914184 3517069 7034138 10551207 14068276 21102414 28136552 31653621 42204828 63307242 84409656 126614484 253228968