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252893224 = 231729371733
BaseRepresentation
bin11110001001011…
…01100000101000
3122121212022021201
433010231200220
51004220040344
641032213544
76160362013
oct1704554050
9577768251
10252893224
1111a82a471
127083a2b4
134051657c
142583037a
15173064d4
hexf12d828

252893224 has 64 divisors (see below), whose sum is σ = 533725200. Its totient is φ = 111734784.

The previous prime is 252893219. The next prime is 252893239. The reversal of 252893224 is 422398252.

It can be written as a sum of positive squares in 8 ways, for example, as 209728324 + 43164900 = 14482^2 + 6570^2 .

It is a super-2 number, since 2×2528932242 = 127909965490228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145062 + ... + 146794.

Almost surely, 2252893224 is an apocalyptic number.

It is an amenable number.

252893224 is an abundant number, since it is smaller than the sum of its proper divisors (280831976).

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

252893224 is a wasteful number, since it uses less digits than its factorization.

252893224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 252893224 is about 15902.6168915685. The cubic root of 252893224 is about 632.3813659922.

The spelling of 252893224 in words is "two hundred fifty-two million, eight hundred ninety-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 17 29 34 37 58 68 74 116 136 148 232 296 493 629 986 1073 1258 1733 1972 2146 2516 3466 3944 4292 5032 6932 8584 13864 18241 29461 36482 50257 58922 64121 72964 100514 117844 128242 145928 201028 235688 256484 402056 512968 854369 1090057 1708738 1859509 2180114 3417476 3719018 4360228 6834952 7438036 8720456 14876072 31611653 63223306 126446612 252893224