Search a number
-
+
2330913312 = 25327131931151
BaseRepresentation
bin1000101011101110…
…1110101000100000
320000110000122221200
42022323232220200
514233203211222
61023143321200
7111522302430
oct21273565040
96013018850
102330913312
11a96815742
12550750200
132b1ba9a60
141817d82c0
15d997aeac
hex8aeeea20

2330913312 has 576 divisors, whose sum is σ = 8923299840. Its totient is φ = 559872000.

The previous prime is 2330913307. The next prime is 2330913323. The reversal of 2330913312 is 2133190332.

2330913312 is a `hidden beast` number, since 2 + 330 + 9 + 13 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436437 + ... + 15436587.

It is an arithmetic number, because the mean of its divisors is an integer number (15491840).

Almost surely, 22330913312 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 2330913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461649920).

2330913312 is an abundant number, since it is smaller than the sum of its proper divisors (6592386528).

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

2330913312 is a wasteful number, since it uses less digits than its factorization.

2330913312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 2330913312 is about 48279.5330549085. The cubic root of 2330913312 is about 1325.8937009988.

The spelling of 2330913312 in words is "two billion, three hundred thirty million, nine hundred thirteen thousand, three hundred twelve".