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2315800080 = 24325112312713
BaseRepresentation
bin1000101000001000…
…0100111000010000
312222101120211111100
42022002010320100
514220321100310
61021443344400
7111246655506
oct21202047020
95871524440
102315800080
11a89232970
12547682100
132aba17a09
1417d7c2676
15d8492ec0
hex8a084e10

2315800080 has 240 divisors, whose sum is σ = 8853826176. Its totient is φ = 536954880.

The previous prime is 2315800063. The next prime is 2315800117. The reversal of 2315800080 is 800085132.

It is a happy number.

2315800080 is a `hidden beast` number, since 2 + 3 + 1 + 580 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 175804 + ... + 188516.

Almost surely, 22315800080 is an apocalyptic number.

2315800080 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 2315800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426913088).

2315800080 is an abundant number, since it is smaller than the sum of its proper divisors (6538026096).

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

2315800080 is a wasteful number, since it uses less digits than its factorization.

2315800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2315800080 is about 48122.7605193218. The cubic root of 2315800080 is about 1323.0218646709.

The spelling of 2315800080 in words is "two billion, three hundred fifteen million, eight hundred thousand, eighty".