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231413760 = 21136531
BaseRepresentation
bin11011100101100…
…01100000000000
3121010110001000000
431302301200000
5433220220020
634544000000
75506661454
oct1562614000
9533401000
10231413760
11109699646
1265600000
1338c35926
1422a3c664
15154b2090
hexdcb1800

231413760 has 336 divisors, whose sum is σ = 859360320. Its totient is φ = 59719680.

The previous prime is 231413747. The next prime is 231413789. The reversal of 231413760 is 67314132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464945 + ... + 7464975.

It is an arithmetic number, because the mean of its divisors is an integer number (2557620).

Almost surely, 2231413760 is an apocalyptic number.

231413760 is a gapful number since it is divisible by the number (20) 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 231413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429680160).

231413760 is an abundant number, since it is smaller than the sum of its proper divisors (627946560).

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

231413760 is an frugal number, since it uses more digits than its factorization.

231413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 231413760 is about 15212.2897684734. The cubic root of 231413760 is about 613.9453667963.

Adding to 231413760 its reverse (67314132), we get a palindrome (298727892).

The spelling of 231413760 in words is "two hundred thirty-one million, four hundred thirteen thousand, seven hundred sixty".