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252230352 = 24311607787
BaseRepresentation
bin11110000100010…
…11101011010000
3122120121121222220
433002023223100
51004032332402
641010101040
76151631313
oct1702135320
9576547886
10252230352
1111a417440
127057a780
134034393a
14256da97a
1517224dbc
hexf08bad0

252230352 has 80 divisors (see below), whose sum is σ = 712906752. Its totient is φ = 76210560.

The previous prime is 252230347. The next prime is 252230387. The reversal of 252230352 is 253032252.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 320103 + ... + 320889.

Almost surely, 2252230352 is an apocalyptic number.

252230352 is a gapful number since it is divisible by the number (22) 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 252230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356453376).

252230352 is an abundant number, since it is smaller than the sum of its proper divisors (460676400).

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

252230352 is a wasteful number, since it uses less digits than its factorization.

252230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 252230352 is about 15881.7616151358. The cubic root of 252230352 is about 631.8283596280.

The spelling of 252230352 in words is "two hundred fifty-two million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 607 787 1214 1574 1821 2361 2428 3148 3642 4722 4856 6296 6677 7284 8657 9444 9712 12592 13354 14568 17314 18888 20031 25971 26708 29136 34628 37776 40062 51942 53416 69256 80124 103884 106832 138512 160248 207768 320496 415536 477709 955418 1433127 1910836 2866254 3821672 5254799 5732508 7643344 10509598 11465016 15764397 21019196 22930032 31528794 42038392 63057588 84076784 126115176 252230352