Search a number
-
+
231530880 = 27357223107
BaseRepresentation
bin11011100110011…
…10000110000000
3121010122222122210
431303032012000
5433232442010
634550302120
75510660100
oct1563160600
9533588583
10231530880
11109769639
1265657940
1338c77029
1422a6d200
15154d6b20
hexdcce180

231530880 has 384 divisors, whose sum is σ = 904193280. Its totient is φ = 50147328.

The previous prime is 231530863. The next prime is 231530881. The reversal of 231530880 is 88035132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231530881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163787 + ... + 2163893.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 2231530880 is an apocalyptic number.

231530880 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 231530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452096640).

231530880 is an abundant number, since it is smaller than the sum of its proper divisors (672662400).

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

231530880 is a wasteful number, since it uses less digits than its factorization.

231530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 231530880 is about 15216.1388006288. The cubic root of 231530880 is about 614.0489232345.

The spelling of 231530880 in words is "two hundred thirty-one million, five hundred thirty thousand, eight hundred eighty".