Search a number
-
+
23130855072 = 25361389857
BaseRepresentation
bin10101100010101101…
…001101011010100000
32012201000210012000000
4111202231031122200
5334332444330242
614343130300000
71446130011153
oct254255153240
965630705000
1023130855072
11989a845856
124596587600
132248216bc0
141196031c9a
15905a5ba4c
hex562b4d6a0

23130855072 has 336 divisors, whose sum is σ = 74442087720. Its totient is φ = 7029006336.

The previous prime is 23130855071. The next prime is 23130855079. The reversal of 23130855072 is 27055803132.

It is a happy number.

23130855072 is a `hidden beast` number, since 2 + 3 + 1 + 30 + 8 + 550 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17847891216 + 5282963856 = 133596^2 + 72684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23130855071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26990068 + ... + 26990924.

Almost surely, 223130855072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37221043860).

23130855072 is an abundant number, since it is smaller than the sum of its proper divisors (51311232648).

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

23130855072 is an equidigital number, since it uses as much as digits as its factorization.

23130855072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 23130855072 in words is "twenty-three billion, one hundred thirty million, eight hundred fifty-five thousand, seventy-two".