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231540480 = 28325101199
BaseRepresentation
bin11011100110100…
…00011100000000
3121010200110211100
431303100130000
5433233243410
634550414400
75511030063
oct1563203400
9533613740
10231540480
11109775876
1265661400
1338c7b502
1422a728da
15154d98c0
hexdcd0700

231540480 has 216 divisors, whose sum is σ = 813103200. Its totient is φ = 60825600.

The previous prime is 231540473. The next prime is 231540497. The reversal of 231540480 is 84045132.

It is a super-2 number, since 2×2315404802 = 107221987757260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163421 + ... + 1163619.

Almost surely, 2231540480 is an apocalyptic number.

231540480 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 231540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406551600).

231540480 is an abundant number, since it is smaller than the sum of its proper divisors (581562720).

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

231540480 is a wasteful number, since it uses less digits than its factorization.

231540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 231540480 is about 15216.4542518946. The cubic root of 231540480 is about 614.0574099184.

The spelling of 231540480 in words is "two hundred thirty-one million, five hundred forty thousand, four hundred eighty".