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2294881920 = 27325398417
BaseRepresentation
bin1000100011001001…
…0001111010000000
312220221020002011200
42020302101322000
514144442210140
61015415141200
7110604113562
oct21062217200
95827202150
102294881920
11a78445831
12540674800
132a75a26c6
1417aad9332
15d6710030
hex88c91e80

2294881920 has 96 divisors (see below), whose sum is σ = 7924534020. Its totient is φ = 611966976.

The previous prime is 2294881913. The next prime is 2294881937. The reversal of 2294881920 is 291884922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2099105856 + 195776064 = 45816^2 + 13992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193449 + ... + 204968.

Almost surely, 22294881920 is an apocalyptic number.

2294881920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2294881920 is an abundant number, since it is smaller than the sum of its proper divisors (5629652100).

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

2294881920 is a wasteful number, since it uses less digits than its factorization.

2294881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398442 (or 398427 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2294881920 is about 47904.9258427565. The cubic root of 2294881920 is about 1319.0262791397.

The spelling of 2294881920 in words is "two billion, two hundred ninety-four million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 398417 796834 1195251 1593668 1992085 2390502 3187336 3585753 3984170 4781004 5976255 6374672 7171506 7968340 9562008 11952510 12749344 14343012 15936680 17928765 19124016 23905020 25498688 28686024 31873360 35857530 38248032 47810040 50997376 57372048 63746720 71715060 76496064 95620080 114744096 127493440 143430120 152992128 191240160 229488192 254986880 286860240 382480320 458976384 573720480 764960640 1147440960 2294881920