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2300645564 = 2271723210143
BaseRepresentation
bin1000100100100001…
…0001000010111100
312221100001220101222
42021020101002330
514202431124224
61020142452512
7111004110320
oct21110210274
95840056358
102300645564
11a80722078
12542594138
132a883cc49
1417b799980
15d6e9cb5e
hex892110bc

2300645564 has 48 divisors (see below), whose sum is σ = 5083803648. Its totient is φ = 887639808.

The previous prime is 2300645551. The next prime is 2300645579. The reversal of 2300645564 is 4655460032.

It is a happy number.

It is a super-2 number, since 2×23006455642 = 10585940022305756192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 94124 + ... + 116019.

It is an arithmetic number, because the mean of its divisors is an integer number (105912576).

Almost surely, 22300645564 is an apocalyptic number.

It is an amenable number.

2300645564 is an abundant number, since it is smaller than the sum of its proper divisors (2783158084).

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

2300645564 is a wasteful number, since it uses less digits than its factorization.

2300645564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210194 (or 210192 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 2300645564 is about 47965.0452308762. The cubic root of 2300645564 is about 1320.1296100158.

The spelling of 2300645564 in words is "two billion, three hundred million, six hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 5474 10948 210143 420286 840572 1471001 2942002 3572431 4833289 5884004 7144862 9666578 14289724 19333156 25007017 33833023 50014034 67666046 82165913 100028068 135332092 164331826 328663652 575161391 1150322782 2300645564