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2275996320 = 25365131979
BaseRepresentation
bin1000011110101000…
…1111001010100000
312212121200121000000
42013222033022200
514130123340240
61013502300000
7110254435533
oct20752171240
95777617000
102275996320
11a688167a4
12536287600
132a36bc5b0
141783c0a1a
15d4c2e430
hex87a8f2a0

2275996320 has 672 divisors, whose sum is σ = 9254649600. Its totient is φ = 524040192.

The previous prime is 2275996313. The next prime is 2275996343. The reversal of 2275996320 is 236995722.

It is a happy number.

2275996320 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 9 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28810041 + ... + 28810119.

It is an arithmetic number, because the mean of its divisors is an integer number (13771800).

Almost surely, 22275996320 is an apocalyptic number.

2275996320 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 2275996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627324800).

2275996320 is an abundant number, since it is smaller than the sum of its proper divisors (6978653280).

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

2275996320 is a wasteful number, since it uses less digits than its factorization.

2275996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2275996320 is about 47707.4031990843. The cubic root of 2275996320 is about 1315.3980241548.

The spelling of 2275996320 in words is "two billion, two hundred seventy-five million, nine hundred ninety-six thousand, three hundred twenty".