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231713280 = 2932589113
BaseRepresentation
bin11011100111110…
…10101000000000
3121011000020212100
431303322220000
5433304311110
634554230400
75512346631
oct1563725000
9534006770
10231713280
11109883687
1265725400
133900c066
1422ab9888
1515520bc0
hexdcfaa00

231713280 has 240 divisors, whose sum is σ = 818686440. Its totient is φ = 60555264.

The previous prime is 231713267. The next prime is 231713299. The reversal of 231713280 is 82317132.

It can be written as a sum of positive squares in 4 ways, for example, as 77158656 + 154554624 = 8784^2 + 12432^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 2050504 + ... + 2050616.

Almost surely, 2231713280 is an apocalyptic number.

231713280 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 231713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409343220).

231713280 is an abundant number, since it is smaller than the sum of its proper divisors (586973160).

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

231713280 is a wasteful number, since it uses less digits than its factorization.

231713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 231713280 is about 15222.1312568247. The cubic root of 231713280 is about 614.2101301321.

The spelling of 231713280 in words is "two hundred thirty-one million, seven hundred thirteen thousand, two hundred eighty".