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230252344 = 2372924889
BaseRepresentation
bin11011011100101…
…01111100111000
3121001021000211121
431232111330320
5432421033334
634503035024
75464053430
oct1556257470
9531230747
10230252344
11108a75aa3
126513ba74
133891a0ba
14228192c0
1515332db4
hexdb95f38

230252344 has 48 divisors (see below), whose sum is σ = 511102800. Its totient is φ = 95257344.

The previous prime is 230252327. The next prime is 230252381. The reversal of 230252344 is 443252032.

It is a super-2 number, since 2×2302523442 = 106032283834988672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44652 + ... + 49540.

It is an arithmetic number, because the mean of its divisors is an integer number (10647975).

Almost surely, 2230252344 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 230252344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255551400).

230252344 is an abundant number, since it is smaller than the sum of its proper divisors (280850456).

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

230252344 is a wasteful number, since it uses less digits than its factorization.

230252344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 230252344 is about 15174.0681427230. The cubic root of 230252344 is about 612.9165570658.

The spelling of 230252344 in words is "two hundred thirty million, two hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1624 1682 3364 4889 5887 6728 9778 11774 19556 23548 34223 39112 47096 68446 136892 141781 273784 283562 567124 992467 1134248 1984934 3969868 4111649 7939736 8223298 16446596 28781543 32893192 57563086 115126172 230252344