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2296880000 = 275428711
BaseRepresentation
bin1000100011100111…
…1001101110000000
312221001222121000122
42020321321232000
514201000130000
61015530035412
7110630105102
oct21071715600
95831877018
102296880000
11a7958aa38
12541278b68
132a7b21cbc
1417b099572
15d69a7085
hex88e79b80

2296880000 has 80 divisors (see below), whose sum is σ = 5718138360. Its totient is φ = 918720000.

The previous prime is 2296879987. The next prime is 2296880021. The reversal of 2296880000 is 886922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65645 + ... + 94355.

Almost surely, 22296880000 is an apocalyptic number.

2296880000 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 2296880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859069180).

2296880000 is an abundant number, since it is smaller than the sum of its proper divisors (3421258360).

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

2296880000 is an frugal number, since it uses more digits than its factorization.

2296880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28745 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2296880000 is about 47925.7759457267. The cubic root of 2296880000 is about 1319.4089793689.

The spelling of 2296880000 in words is "two billion, two hundred ninety-six million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 28711 40000 57422 80000 114844 143555 229688 287110 459376 574220 717775 918752 1148440 1435550 1837504 2296880 2871100 3588875 3675008 4593760 5742200 7177750 9187520 11484400 14355500 17944375 18375040 22968800 28711000 35888750 45937600 57422000 71777500 91875200 114844000 143555000 229688000 287110000 459376000 574220000 1148440000 2296880000