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2265895040 = 2753540461
BaseRepresentation
bin1000011100001110…
…1101000010000000
312211220200101122112
42013003231002000
514120032120130
61012501554452
7110102534663
oct20703550200
95756611575
102265895040
11a63047532
12532a15a28
132a15938c6
14176d116da
15d3dd6495
hex870ed080

2265895040 has 32 divisors (see below), whose sum is σ = 5416906860. Its totient is φ = 906357760.

The previous prime is 2265895033. The next prime is 2265895063. The reversal of 2265895040 is 405985622.

It can be written as a sum of positive squares in 2 ways, for example, as 1813397056 + 452497984 = 42584^2 + 21272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1769591 + ... + 1770870.

Almost surely, 22265895040 is an apocalyptic number.

2265895040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265895040 is an abundant number, since it is smaller than the sum of its proper divisors (3151011820).

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

2265895040 is an equidigital number, since it uses as much as digits as its factorization.

2265895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540480 (or 3540468 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2265895040 is about 47601.4184662600. The cubic root of 2265895040 is about 1313.4491473419.

The spelling of 2265895040 in words is "two billion, two hundred sixty-five million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3540461 7080922 14161844 17702305 28323688 35404610 56647376 70809220 113294752 141618440 226589504 283236880 453179008 566473760 1132947520 2265895040