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2298560320 = 26571026143
BaseRepresentation
bin1000100100000001…
…0011111101000000
312221012010221222201
42021000103331000
514201412412240
61020030042544
7110650304020
oct21100237500
95835127881
102298560320
11a7a528431
12541949454
132a828ca84
1417b3b5a80
15d6bd9d9a
hex89013f40

2298560320 has 56 divisors (see below), whose sum is σ = 6255373824. Its totient is φ = 788077056.

The previous prime is 2298560263. The next prime is 2298560371. The reversal of 2298560320 is 230658922.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2298560320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 510832 + ... + 515311.

It is an arithmetic number, because the mean of its divisors is an integer number (111703104).

Almost surely, 22298560320 is an apocalyptic number.

2298560320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2298560320 is an abundant number, since it is smaller than the sum of its proper divisors (3956813504).

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

2298560320 is a wasteful number, since it uses less digits than its factorization.

2298560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026167 (or 1026157 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2298560320 is about 47943.3031819878. The cubic root of 2298560320 is about 1319.7306459893.

The spelling of 2298560320 in words is "two billion, two hundred ninety-eight million, five hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1026143 2052286 4104572 5130715 7183001 8209144 10261430 14366002 16418288 20522860 28732004 32836576 35915005 41045720 57464008 65673152 71830010 82091440 114928016 143660020 164182880 229856032 287320040 328365760 459712064 574640080 1149280160 2298560320