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2312157120 = 2635721319199
BaseRepresentation
bin1000100111010000…
…1011011111000000
312222010201202021220
42021310023133000
514213403011440
61021233315040
7111204003600
oct21164133700
95863652256
102312157120
11a87174959
12546405a80
132ab040810
1417d114c00
15d7ec38d0
hex89d0b7c0

2312157120 has 672 divisors, whose sum is σ = 9729216000. Its totient is φ = 459841536.

The previous prime is 2312157073. The next prime is 2312157137. The reversal of 2312157120 is 217512132.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 11618781 + ... + 11618979.

It is an arithmetic number, because the mean of its divisors is an integer number (14478000).

Almost surely, 22312157120 is an apocalyptic number.

2312157120 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 2312157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608000).

2312157120 is an abundant number, since it is smaller than the sum of its proper divisors (7417058880).

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

2312157120 is a wasteful number, since it uses less digits than its factorization.

2312157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2312157120 is about 48084.8949255377. The cubic root of 2312157120 is about 1322.3277567949.

Adding to 2312157120 its reverse (217512132), we get a palindrome (2529669252).

The spelling of 2312157120 in words is "two billion, three hundred twelve million, one hundred fifty-seven thousand, one hundred twenty".