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252323214 = 2311131717299
BaseRepresentation
bin11110000101000…
…10010110001110
3122120210100101020
433002202112032
51004043320324
641012055010
76152466123
oct1702422616
9576710336
10252323214
1111a480190
1270604466
1340376ca0
142572274a
1517242679
hexf0a258e

252323214 has 64 divisors (see below), whose sum is σ = 627782400. Its totient is φ = 66424320.

The previous prime is 252323209. The next prime is 252323221. The reversal of 252323214 is 412323252.

It is an alternating number because its digits alternate between even and odd.

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 31 ways as a sum of consecutive naturals, for example, 5937 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (9809100).

Almost surely, 2252323214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252323214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313891200).

252323214 is an abundant number, since it is smaller than the sum of its proper divisors (375459186).

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

252323214 is a wasteful number, since it uses less digits than its factorization.

252323214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345.

The product of its digits is 2880, while the sum is 24.

The square root of 252323214 is about 15884.6848882815. The cubic root of 252323214 is about 631.9058888200.

Adding to 252323214 its reverse (412323252), we get a palindrome (664646466).

The spelling of 252323214 in words is "two hundred fifty-two million, three hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 7293 14586 17299 34598 51897 103794 190289 224887 294083 380578 449774 570867 588166 674661 882249 1141734 1349322 1764498 2473757 3234913 3823079 4947514 6469826 7421271 7646158 9704739 11469237 14842542 19409478 22938474 42053869 84107738 126161607 252323214