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2314696560 = 2435115371233
BaseRepresentation
bin1000100111110111…
…0111011101110000
312222022111202202020
42021331313131300
514220030242220
61021403551440
7111234411321
oct21175673560
95868452666
102314696560
11a88649870
1254722b580
132ab71c647
1417d5b6448
15d8326040
hex89f77770

2314696560 has 320 divisors, whose sum is σ = 8122622976. Its totient is φ = 540467200.

The previous prime is 2314696537. The next prime is 2314696627. The reversal of 2314696560 is 656964132.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9934204 + ... + 9934436.

Almost surely, 22314696560 is an apocalyptic number.

2314696560 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 2314696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061311488).

2314696560 is an abundant number, since it is smaller than the sum of its proper divisors (5807926416).

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

2314696560 is a wasteful number, since it uses less digits than its factorization.

2314696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2314696560 is about 48111.2934766880. The cubic root of 2314696560 is about 1322.8116834518.

The spelling of 2314696560 in words is "two billion, three hundred fourteen million, six hundred ninety-six thousand, five hundred sixty".