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231390720 = 2932511283
BaseRepresentation
bin11011100101010…
…11111000000000
3121010101212101200
431302223320000
5433214000340
634543301200
75506534341
oct1562537000
9533355350
10231390720
11109683300
12655aa800
1338c282b2
1422a340c8
15154aa330
hexdcabe00

231390720 has 360 divisors, whose sum is σ = 891458568. Its totient is φ = 55418880.

The previous prime is 231390707. The next prime is 231390773. The reversal of 231390720 is 27093132.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2787799 + ... + 2787881.

Almost surely, 2231390720 is an apocalyptic number.

231390720 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 231390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445729284).

231390720 is an abundant number, since it is smaller than the sum of its proper divisors (660067848).

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

231390720 is a wasteful number, since it uses less digits than its factorization.

231390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 231390720 is about 15211.5324671777. The cubic root of 231390720 is about 613.9249909253.

The spelling of 231390720 in words is "two hundred thirty-one million, three hundred ninety thousand, seven hundred twenty".