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2642865225 = 35272111347107
BaseRepresentation
bin1001110110000110…
…1110110001001001
320211012000110112020
42131201232301021
520403033141400
61114125435053
7122330661300
oct23541566111
96735013466
102642865225
111136912840
1261910ba89
133317009a0
141b0ddd437
1510704b2a0
hex9d86ec49

2642865225 has 288 divisors, whose sum is σ = 6155606016. Its totient is φ = 983001600.

The previous prime is 2642865151. The next prime is 2642865229. The reversal of 2642865225 is 5225682462.

2642865225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2642865225 - 29 = 2642864713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2642865229) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24699622 + ... + 24699728.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 22642865225 is an apocalyptic number.

2642865225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2642865225 is an abundant number, since it is smaller than the sum of its proper divisors (3512740791).

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

2642865225 is a wasteful number, since it uses less digits than its factorization.

2642865225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2642865225 is about 51408.8049365087. The cubic root of 2642865225 is about 1382.5844631407.

The spelling of 2642865225 in words is "two billion, six hundred forty-two million, eight hundred sixty-five thousand, two hundred twenty-five".