Search a number
-
+
232450092560160 = 253251710099410813
BaseRepresentation
bin110100110110100110000001…
…001100011110111100100000
31010111001000022121201202022100
4310312212001030132330200
5220431430242143411120
62142214033123210400
766650651663113416
oct6466460114367440
91114030277652270
10232450092560160
116807a59231a432
12220a2475816a00
139c91c4657a867
1441589047692b6
151bd18612b9490
hexd3698131ef20

232450092560160 has 288 divisors, whose sum is σ = 840729373127280. Its totient is φ = 58282589159424.

The previous prime is 232450092560159. The next prime is 232450092560207. The reversal of 232450092560160 is 61065290054232.

232450092560160 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 500 + 9 + 25 + 60 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 183635780307984 + 48814312252176 = 13551228^2 + 6986724^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19994914 + ... + 29405726.

Almost surely, 2232450092560160 is an apocalyptic number.

232450092560160 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 232450092560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420364686563640).

232450092560160 is an abundant number, since it is smaller than the sum of its proper divisors (608279280567120).

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

232450092560160 is a wasteful number, since it uses less digits than its factorization.

232450092560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411860 (or 9411849 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 232450092560160 in words is "two hundred thirty-two trillion, four hundred fifty billion, ninety-two million, five hundred sixty thousand, one hundred sixty".