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231318000 = 24325371181
BaseRepresentation
bin11011100100110…
…10000111110000
3121010021011122100
431302122013300
5433204134000
634541540400
75506112334
oct1562320760
9533234570
10231318000
11109633701
1265574700
1338c01174
1422a157c4
1515493a00
hexdc9a1f0

231318000 has 240 divisors, whose sum is σ = 823822272. Its totient is φ = 60480000.

The previous prime is 231317993. The next prime is 231318013. The reversal of 231318000 is 813132.

231318000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277910 + ... + 1278090.

Almost surely, 2231318000 is an apocalyptic number.

231318000 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 231318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411911136).

231318000 is an abundant number, since it is smaller than the sum of its proper divisors (592504272).

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

231318000 is a wasteful number, since it uses less digits than its factorization.

231318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 231318000 is about 15209.1419876336. The cubic root of 231318000 is about 613.8606707097.

The spelling of 231318000 in words is "two hundred thirty-one million, three hundred eighteen thousand".