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2314263680 = 27523157219
BaseRepresentation
bin1000100111110000…
…1101110010000000
312222021200202221122
42021330031302000
514214422414210
61021350411412
7111230626301
oct21174156200
95867622848
102314263680
11a88383613
12547060b68
132ab5ca5c1
1417d5027a8
15d828cb55
hex89f0dc80

2314263680 has 64 divisors (see below), whose sum is σ = 5773118400. Its totient is φ = 885451776.

The previous prime is 2314263667. The next prime is 2314263719. The reversal of 2314263680 is 863624132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2314263680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63890 + ... + 93329.

It is an arithmetic number, because the mean of its divisors is an integer number (90204975).

Almost surely, 22314263680 is an apocalyptic number.

2314263680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314263680 is an abundant number, since it is smaller than the sum of its proper divisors (3458854720).

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

2314263680 is a wasteful number, since it uses less digits than its factorization.

2314263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157261 (or 157249 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2314263680 is about 48106.7945305027. The cubic root of 2314263680 is about 1322.7292170023.

The spelling of 2314263680 in words is "two billion, three hundred fourteen million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 157219 314438 628876 786095 1257752 1572190 2515504 3144380 3616037 5031008 6288760 7232074 10062016 12577520 14464148 18080185 20124032 25155040 28928296 36160370 50310080 57856592 72320740 100620160 115713184 144641480 231426368 289282960 462852736 578565920 1157131840 2314263680