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231880320 = 27365771
BaseRepresentation
bin11011101001000…
…11011010000000
3121011022202000000
431310203122000
5433330132240
635002000000
75513643630
oct1564433200
9534282000
10231880320
11109988131
12657a6000
133906a0b9
1422b206c0
1515555430
hexdd23680

231880320 has 448 divisors, whose sum is σ = 963239040. Its totient is φ = 52254720.

The previous prime is 231880307. The next prime is 231880393. The reversal of 231880320 is 23088132.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265885 + ... + 3265955.

Almost surely, 2231880320 is an apocalyptic number.

231880320 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 231880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481619520).

231880320 is an abundant number, since it is smaller than the sum of its proper divisors (731358720).

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

231880320 is an frugal number, since it uses more digits than its factorization.

231880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 231880320 is about 15227.6170164606. The cubic root of 231880320 is about 614.3576875158.

The spelling of 231880320 in words is "two hundred thirty-one million, eight hundred eighty thousand, three hundred twenty".