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2298627136 = 261324612
BaseRepresentation
bin1000100100000010…
…0100010001000000
312221012021100122101
42021000210101000
514201422032021
61020031320144
7110651002561
oct21100442100
95835240571
102298627136
11a7a573653
12541980054
132a82b4300
1417b3d2168
15d6beea91
hex89024440

2298627136 has 63 divisors (see below), whose sum is σ = 4949937903. Its totient is φ = 1058603520.

The previous prime is 2298627131. The next prime is 2298627151. The reversal of 2298627136 is 6317268922.

The square root of 2298627136 is 47944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 678081600 + 1620545536 = 26040^2 + 40256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2298627131) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4985946 + ... + 4986406.

Almost surely, 22298627136 is an apocalyptic number.

2298627136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2298627136 is the 47944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298627136

2298627136 is an abundant number, since it is smaller than the sum of its proper divisors (2651310767).

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

2298627136 is an frugal number, since it uses more digits than its factorization.

2298627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 476 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The cubic root of 2298627136 is about 1319.7434334528.

The spelling of 2298627136 in words is "two billion, two hundred ninety-eight million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 461 676 832 922 1352 1844 2704 3688 5408 5993 7376 10816 11986 14752 23972 29504 47944 77909 95888 155818 191776 212521 311636 383552 425042 623272 850084 1246544 1700168 2493088 2762773 3400336 4986176 5525546 6800672 11051092 13601344 22102184 35916049 44204368 71832098 88408736 143664196 176817472 287328392 574656784 1149313568 2298627136