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2279920608 = 25347229619
BaseRepresentation
bin1000011111100100…
…1101001111100000
312212220001222010000
42013321031033200
514132124424413
61014122340000
7110333001600
oct20771151740
95786058100
102279920608
11a6aa57109
1253765a600
132a4464864
14178b22c00
15d5257073
hex87e4d3e0

2279920608 has 360 divisors, whose sum is σ = 8081904600. Its totient is φ = 627927552.

The previous prime is 2279920589. The next prime is 2279920613. The reversal of 2279920608 is 8060299722.

2279920608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3682923 + ... + 3683541.

It is an arithmetic number, because the mean of its divisors is an integer number (22449735).

Almost surely, 22279920608 is an apocalyptic number.

2279920608 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 2279920608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040952300).

2279920608 is an abundant number, since it is smaller than the sum of its proper divisors (5801983992).

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

2279920608 is a wasteful number, since it uses less digits than its factorization.

2279920608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2279920608 is about 47748.5141967789. The cubic root of 2279920608 is about 1316.1535960758.

The spelling of 2279920608 in words is "two billion, two hundred seventy-nine million, nine hundred twenty thousand, six hundred eight".