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2298612864 = 27337161783
BaseRepresentation
bin1000100100000010…
…0000110010000000
312221012020122001210
42021000200302000
514201421102424
61020031130120
7110650613142
oct21100406200
95835218053
102298612864
11a7a563959
12541973940
132a82aa972
1417b3cac92
15d6bea729
hex89020c80

2298612864 has 64 divisors (see below), whose sum is σ = 6270747840. Its totient is φ = 745491456.

The previous prime is 2298612851. The next prime is 2298612907. The reversal of 2298612864 is 4682168922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66684 + ... + 95099.

It is an arithmetic number, because the mean of its divisors is an integer number (97980435).

Almost surely, 22298612864 is an apocalyptic number.

2298612864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2298612864 is an abundant number, since it is smaller than the sum of its proper divisors (3972134976).

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

2298612864 is a wasteful number, since it uses less digits than its factorization.

2298612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161837 (or 161825 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 2298612864 is about 47943.8511594553. The cubic root of 2298612864 is about 1319.7407020518.

The spelling of 2298612864 in words is "two billion, two hundred ninety-eight million, six hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 161783 323566 485349 647132 970698 1294264 1941396 2588528 3882792 5177056 5985971 7765584 10354112 11971942 15531168 17957913 20708224 23943884 31062336 35915826 47887768 62124672 71831652 95775536 143663304 191551072 287326608 383102144 574653216 766204288 1149306432 2298612864