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252233200 = 2452630583
BaseRepresentation
bin11110000100011…
…00010111110000
3122120121202220101
433002030113300
51004032430300
641010122144
76151642522
oct1702142760
9576552811
10252233200
1111a41959a
1270580354
134034501b
14256dba12
1517225b6a
hexf08c5f0

252233200 has 30 divisors (see below), whose sum is σ = 605991224. Its totient is φ = 100893120.

The previous prime is 252233197. The next prime is 252233207. The reversal of 252233200 is 2332252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252233207) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 314892 + ... + 315691.

Almost surely, 2252233200 is an apocalyptic number.

252233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252233200 is an abundant number, since it is smaller than the sum of its proper divisors (353758024).

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

252233200 is a wasteful number, since it uses less digits than its factorization.

252233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630601 (or 630590 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 252233200 is about 15881.8512774802. The cubic root of 252233200 is about 631.8307376664.

Adding to 252233200 its reverse (2332252), we get a palindrome (254565452).

The spelling of 252233200 in words is "two hundred fifty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 630583 1261166 2522332 3152915 5044664 6305830 10089328 12611660 15764575 25223320 31529150 50446640 63058300 126116600 252233200