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2325346920 = 23335131923379
BaseRepresentation
bin1000101010011001…
…1111101001101000
320000001112212022000
42022212133221220
514230242100140
61022424131000
7111424060041
oct21246375150
96001485260
102325346920
11a93663616
1254a906a60
132b09ab230
14180b898c8
15d922ba30
hex8a99fa68

2325346920 has 512 divisors, whose sum is σ = 9192960000. Its totient is φ = 517321728.

The previous prime is 2325346879. The next prime is 2325346927. The reversal of 2325346920 is 296435232.

It is a happy number.

2325346920 is a `hidden beast` number, since 2 + 32 + 534 + 6 + 92 + 0 = 666.

2325346920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2325346927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6135291 + ... + 6135669.

It is an arithmetic number, because the mean of its divisors is an integer number (17955000).

Almost surely, 22325346920 is an apocalyptic number.

2325346920 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 2325346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480000).

2325346920 is an abundant number, since it is smaller than the sum of its proper divisors (6867613080).

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

2325346920 is a wasteful number, since it uses less digits than its factorization.

2325346920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2325346920 is about 48221.8510635998. The cubic root of 2325346920 is about 1324.8374159119.

The spelling of 2325346920 in words is "two billion, three hundred twenty-five million, three hundred forty-six thousand, nine hundred twenty".