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252231360 = 2635262741
BaseRepresentation
bin11110000100010…
…11111011000000
3122120121200101020
433002023323000
51004032400420
641010105440
76151634253
oct1702137300
9576550336
10252231360
1111a418177
127057b280
1340344234
14256db09a
1517225340
hexf08bec0

252231360 has 56 divisors (see below), whose sum is σ = 800837616. Its totient is φ = 67261440.

The previous prime is 252231337. The next prime is 252231367. The reversal of 252231360 is 63132252.

252231360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252231360.

It is not an unprimeable number, because it can be changed into a prime (252231367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130411 + ... + 132330.

Almost surely, 2252231360 is an apocalyptic number.

252231360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252231360 is an abundant number, since it is smaller than the sum of its proper divisors (548606256).

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

252231360 is a wasteful number, since it uses less digits than its factorization.

252231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262761 (or 262751 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 252231360 is about 15881.7933496189. The cubic root of 252231360 is about 631.8292012953.

The spelling of 252231360 in words is "two hundred fifty-two million, two hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 262741 525482 788223 1050964 1313705 1576446 2101928 2627410 3152892 3941115 4203856 5254820 6305784 7882230 8407712 10509640 12611568 15764460 16815424 21019280 25223136 31528920 42038560 50446272 63057840 84077120 126115680 252231360