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252214368 = 2537253617
BaseRepresentation
bin11110000100001…
…11110001100000
3122120120211001220
433002013301200
51004031324433
641005455040
76151533600
oct1702076140
9576524056
10252214368
1111a40642a
1270571480
1340339593
14256d4c00
15172202b3
hexf087c60

252214368 has 72 divisors (see below), whose sum is σ = 770168952. Its totient is φ = 72059904.

The previous prime is 252214351. The next prime is 252214381. The reversal of 252214368 is 863412252.

It is a super-2 number, since 2×2522143682 = 127224174851278848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22105 + ... + 31512.

It is an arithmetic number, because the mean of its divisors is an integer number (10696791).

Almost surely, 2252214368 is an apocalyptic number.

252214368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252214368 is an abundant number, since it is smaller than the sum of its proper divisors (517954584).

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

252214368 is a wasteful number, since it uses less digits than its factorization.

252214368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53644 (or 53629 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 252214368 is about 15881.2583884275. The cubic root of 252214368 is about 631.8150128892.

The spelling of 252214368 in words is "two hundred fifty-two million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 53617 107234 160851 214468 321702 375319 428936 643404 750638 857872 1125957 1286808 1501276 1715744 2251914 2573616 2627233 3002552 4503828 5147232 5254466 6005104 7881699 9007656 10508932 12010208 15763398 18015312 21017864 31526796 36030624 42035728 63053592 84071456 126107184 252214368