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232431144 = 23311880421
BaseRepresentation
bin11011101101010…
…01111000101000
3121012100201120220
431312221320220
5434000244034
635021450040
75521426551
oct1566517050
9535321526
10232431144
1110a223a60
1265a10920
1339200a2a
1422c25328
1515613749
hexdda9e28

232431144 has 32 divisors (see below), whose sum is σ = 633903840. Its totient is φ = 70433600.

The previous prime is 232431131. The next prime is 232431163. The reversal of 232431144 is 441134232.

232431144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2324311442 = 108048473402297472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439947 + ... + 440474.

It is an arithmetic number, because the mean of its divisors is an integer number (19809495).

Almost surely, 2232431144 is an apocalyptic number.

232431144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232431144 is an abundant number, since it is smaller than the sum of its proper divisors (401472696).

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

232431144 is a wasteful number, since it uses less digits than its factorization.

232431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880441 (or 880437 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 232431144 is about 15245.6926375944. The cubic root of 232431144 is about 614.8437649269.

Adding to 232431144 its reverse (441134232), we get a palindrome (673565376).

The spelling of 232431144 in words is "two hundred thirty-two million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 880421 1760842 2641263 3521684 5282526 7043368 9684631 10565052 19369262 21130104 29053893 38738524 58107786 77477048 116215572 232431144