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2315819968 = 267211217359
BaseRepresentation
bin1000101000001000…
…1001101111000000
312222101121211202221
42022002021233000
514220322214333
61021444020424
7111250100500
oct21202115700
95871554687
102315819968
11a89246900
12547691714
132aba23a97
1417d7c9a00
15d8498d2d
hex8a089bc0

2315819968 has 252 divisors, whose sum is σ = 6238859760. Its totient is φ = 846827520.

The previous prime is 2315819963. The next prime is 2315819971. The reversal of 2315819968 is 8699185132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315819963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6450573 + ... + 6450931.

It is an arithmetic number, because the mean of its divisors is an integer number (24757380).

Almost surely, 22315819968 is an apocalyptic number.

2315819968 is a gapful number since it is divisible by the number (28) 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 2315819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119429880).

2315819968 is an abundant number, since it is smaller than the sum of its proper divisors (3923039792).

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

2315819968 is a wasteful number, since it uses less digits than its factorization.

2315819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The square root of 2315819968 is about 48122.9671570655. The cubic root of 2315819968 is about 1323.0256520133.

The spelling of 2315819968 in words is "two billion, three hundred fifteen million, eight hundred nineteen thousand, nine hundred sixty-eight".