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252227892 = 223722511709
BaseRepresentation
bin11110000100010…
…11000100110100
3122120121111121210
433002023010310
51004032243032
641010041420
76151621200
oct1702130464
9576544553
10252227892
1111a415604
1270579270
1340342797
14256d9b00
15172242cc
hexf08b134

252227892 has 72 divisors (see below), whose sum is σ = 687748320. Its totient is φ = 71736000.

The previous prime is 252227887. The next prime is 252227893. The reversal of 252227892 is 298722252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252227892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252227893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146734 + ... + 148442.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2252227892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252227892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160).

252227892 is an abundant number, since it is smaller than the sum of its proper divisors (435520428).

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

252227892 is a wasteful number, since it uses less digits than its factorization.

252227892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1972 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 252227892 is about 15881.6841676190. The cubic root of 252227892 is about 631.8263055495.

The spelling of 252227892 in words is "two hundred fifty-two million, two hundred twenty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 502 588 753 1004 1506 1709 1757 3012 3418 3514 5127 5271 6836 7028 10254 10542 11963 12299 20508 21084 23926 24598 35889 36897 47852 49196 71778 73794 83741 143556 147588 167482 251223 334964 428959 502446 857918 1004892 1286877 1715836 2573754 3002713 5147508 6005426 9008139 12010852 18016278 21018991 36032556 42037982 63056973 84075964 126113946 252227892