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252235830 = 235721119821
BaseRepresentation
bin11110000100011…
…01000000110110
3122120121220111210
433002031000312
51004033021310
641010142250
76151653300
oct1702150066
9576556453
10252235830
1111a420570
1270581986
1340346292
14256dc970
1517226820
hexf08d036

252235830 has 192 divisors, whose sum is σ = 809637120. Its totient is φ = 49593600.

The previous prime is 252235829. The next prime is 252235831. The reversal of 252235830 is 38532252.

It is an interprime number because it is at equal distance from previous prime (252235829) and next prime (252235831).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252235831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306820 + ... + 307640.

It is an arithmetic number, because the mean of its divisors is an integer number (4216860).

Almost surely, 2252235830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252235830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404818560).

252235830 is an abundant number, since it is smaller than the sum of its proper divisors (557401290).

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

252235830 is a wasteful number, since it uses less digits than its factorization.

252235830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 252235830 is about 15881.9340761760. The cubic root of 252235830 is about 631.8329336621.

The spelling of 252235830 in words is "two hundred fifty-two million, two hundred thirty-five thousand, eight hundred thirty".