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2296306080 = 253251594657
BaseRepresentation
bin1000100011011110…
…1101100110100000
312221000220102202100
42020313231212200
514200323243310
61015505450400
7110622164625
oct21067554640
95830812670
102296306080
11a79228822
12541040a00
132a79809c3
1417ad8a34c
15d68e1ec0
hex88ded9a0

2296306080 has 72 divisors (see below), whose sum is σ = 7836149412. Its totient is φ = 612347904.

The previous prime is 2296306079. The next prime is 2296306097. The reversal of 2296306080 is 806036922.

It can be written as a sum of positive squares in 2 ways, for example, as 2259291024 + 37015056 = 47532^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22963060802 = 10546043226089932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795889 + ... + 798768.

Almost surely, 22296306080 is an apocalyptic number.

2296306080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2296306080 is an abundant number, since it is smaller than the sum of its proper divisors (5539843332).

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

2296306080 is a wasteful number, since it uses less digits than its factorization.

2296306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594678 (or 1594667 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2296306080 is about 47919.7879794976. The cubic root of 2296306080 is about 1319.2990769099.

The spelling of 2296306080 in words is "two billion, two hundred ninety-six million, three hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1594657 3189314 4783971 6378628 7973285 9567942 12757256 14351913 15946570 19135884 23919855 25514512 28703826 31893140 38271768 47839710 51029024 57407652 63786280 71759565 76543536 95679420 114815304 127572560 143519130 153087072 191358840 229630608 255145120 287038260 382717680 459261216 574076520 765435360 1148153040 2296306080