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2265045133 = 131722694517
BaseRepresentation
bin1000011100000001…
…1101100010001101
312211212002012210111
42013000131202031
514114322421013
61012431440021
7110062365061
oct20700354215
95755065714
102265045133
11a62616a2a
12532686011
132a1356ac0
14176b6daa1
15d3cb973d
hex8701d88d

2265045133 has 16 divisors (see below), whose sum is σ = 2584476720. Its totient is φ = 1966519296.

The previous prime is 2265045131. The next prime is 2265045137. The reversal of 2265045133 is 3315405622.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 934035844 + 1331009289 = 30562^2 + 36483^2 .

It is a cyclic number.

It is not a de Polignac number, because 2265045133 - 21 = 2265045131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2265045095 and 2265045104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265045131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 499191 + ... + 503707.

It is an arithmetic number, because the mean of its divisors is an integer number (161529795).

Almost surely, 22265045133 is an apocalyptic number.

It is an amenable number.

2265045133 is a deficient number, since it is larger than the sum of its proper divisors (319431587).

2265045133 is a wasteful number, since it uses less digits than its factorization.

2265045133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2265045133 is about 47592.4903004665. The cubic root of 2265045133 is about 1313.2849077214.

The spelling of 2265045133 in words is "two billion, two hundred sixty-five million, forty-five thousand, one hundred thirty-three".

Divisors: 1 13 17 221 2269 4517 29497 38573 58721 76789 501449 998257 10249073 133237949 174234241 2265045133