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252214360 = 235192811181
BaseRepresentation
bin11110000100001…
…11110001011000
3122120120211001121
433002013301120
51004031324420
641005455024
76151533556
oct1702076130
9576524047
10252214360
1111a406422
1270571474
1340339588
14256d4bd6
15172202aa
hexf087c58

252214360 has 64 divisors (see below), whose sum is σ = 599983200. Its totient is φ = 95155200.

The previous prime is 252214351. The next prime is 252214381. The reversal of 252214360 is 63412252.

It is a super-2 number, since 2×2522143602 = 127224166780419200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212970 + ... + 214150.

Almost surely, 2252214360 is an apocalyptic number.

252214360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252214360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299991600).

252214360 is an abundant number, since it is smaller than the sum of its proper divisors (347768840).

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

252214360 is a wasteful number, since it uses less digits than its factorization.

252214360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 252214360 is about 15881.2581365583. The cubic root of 252214360 is about 631.8150062090.

The spelling of 252214360 in words is "two hundred fifty-two million, two hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 281 380 562 760 1124 1181 1405 2248 2362 2810 4724 5339 5620 5905 9448 10678 11240 11810 21356 22439 23620 26695 42712 44878 47240 53390 89756 106780 112195 179512 213560 224390 331861 448780 663722 897560 1327444 1659305 2654888 3318610 6305359 6637220 12610718 13274440 25221436 31526795 50442872 63053590 126107180 252214360