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2256932000 = 2553564233
BaseRepresentation
bin1000011010000110…
…0000110010100000
312211021211000200002
42012201200302200
514110233311000
61011541515132
7106633414451
oct20641406240
95737730602
102256932000
11a58a85464
1252ba12aa8
1329c77602b
14175a5b128
15d32158d5
hex86860ca0

2256932000 has 48 divisors (see below), whose sum is σ = 5545291752. Its totient is φ = 902771200.

The previous prime is 2256931987. The next prime is 2256932003. The reversal of 2256932000 is 2396522.

It can be written as a sum of positive squares in 4 ways, for example, as 419266576 + 1837665424 = 20476^2 + 42868^2 .

It is not an unprimeable number, because it can be changed into a prime (2256932003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278117 + ... + 286116.

Almost surely, 22256932000 is an apocalyptic number.

2256932000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256932000 is an abundant number, since it is smaller than the sum of its proper divisors (3288359752).

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

2256932000 is an equidigital number, since it uses as much as digits as its factorization.

2256932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564258 (or 564240 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2256932000 is about 47507.1784049527. The cubic root of 2256932000 is about 1311.7150196524.

The spelling of 2256932000 in words is "two billion, two hundred fifty-six million, nine hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 564233 1128466 2256932 2821165 4513864 5642330 9027728 11284660 14105825 18055456 22569320 28211650 45138640 56423300 70529125 90277280 112846600 141058250 225693200 282116500 451386400 564233000 1128466000 2256932000