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2255107460 = 225172390157
BaseRepresentation
bin1000011001101010…
…0011010110000100
312211011101022212112
42012122203112010
514104301414320
61011434440152
7106612045214
oct20632432604
95734338775
102255107460
11a57a49681
1252b293058
1329c287718
14175704244
15d2ea4ec5
hex866a3584

2255107460 has 36 divisors (see below), whose sum is σ = 5030697252. Its totient is φ = 848979456.

The previous prime is 2255107457. The next prime is 2255107567. The reversal of 2255107460 is 647015522.

It can be written as a sum of positive squares in 6 ways, for example, as 43850884 + 2211256576 = 6622^2 + 47024^2 .

It is a super-2 number, since 2×22551074602 = 10171019312295303200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 189299 + ... + 200858.

Almost surely, 22255107460 is an apocalyptic number.

2255107460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255107460 is an abundant number, since it is smaller than the sum of its proper divisors (2775589792).

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

2255107460 is a wasteful number, since it uses less digits than its factorization.

2255107460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390200 (or 390181 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2255107460 is about 47487.9717402207. The cubic root of 2255107460 is about 1311.3614538777.

The spelling of 2255107460 in words is "two billion, two hundred fifty-five million, one hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 390157 780314 1560628 1950785 3901570 6632669 7803140 13265338 26530676 33163345 66326690 112755373 132653380 225510746 451021492 563776865 1127553730 2255107460