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2265312140 = 2257213177811
BaseRepresentation
bin1000011100000101…
…1110101110001100
312211212120210001122
42013001132232030
514114404442030
61012441300112
7110064556400
oct20701365614
95755523048
102265312140
11a627895a3
12532794638
132a141b4b0
14176bdd100
15d3d1d8e5
hex8705eb8c

2265312140 has 72 divisors (see below), whose sum is σ = 5959546992. Its totient is φ = 716929920.

The previous prime is 2265312059. The next prime is 2265312149. The reversal of 2265312140 is 412135622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2265312149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76166 + ... + 101645.

It is an arithmetic number, because the mean of its divisors is an integer number (82771486).

Almost surely, 22265312140 is an apocalyptic number.

2265312140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265312140 is an abundant number, since it is smaller than the sum of its proper divisors (3694234852).

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

2265312140 is a wasteful number, since it uses less digits than its factorization.

2265312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177847 (or 177838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2265312140 is about 47595.2953557387. The cubic root of 2265312140 is about 1313.3365097080.

Adding to 2265312140 its reverse (412135622), we get a palindrome (2677447762).

The spelling of 2265312140 in words is "two billion, two hundred sixty-five million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 177811 355622 711244 889055 1244677 1778110 2311543 2489354 3556220 4623086 4978708 6223385 8712739 9246172 11557715 12446770 16180801 17425478 23115430 24893540 32361602 34850956 43563695 46230860 64723204 80904005 87127390 113265607 161808010 174254780 226531214 323616020 453062428 566328035 1132656070 2265312140