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2265206112 = 253213605023
BaseRepresentation
bin1000011100000100…
…0100110101100000
312211212101101121200
42013001010311200
514114343043422
61012435121200
7110063635311
oct20701046540
95755341550
102265206112
11a62716974
12532743200
132a13b2160
14176bb2608
15d3cec2ac
hex87044d60

2265206112 has 72 divisors (see below), whose sum is σ = 6937205184. Its totient is φ = 696985344.

The previous prime is 2265206101. The next prime is 2265206137. The reversal of 2265206112 is 2116025622.

2265206112 is a `hidden beast` number, since 2 + 2 + 652 + 0 + 6 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 298768 + ... + 306255.

It is an arithmetic number, because the mean of its divisors is an integer number (96350072).

Almost surely, 22265206112 is an apocalyptic number.

It is an amenable number.

2265206112 is an abundant number, since it is smaller than the sum of its proper divisors (4671999072).

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

2265206112 is a wasteful number, since it uses less digits than its factorization.

2265206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605052 (or 605041 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2265206112 is about 47594.1814931195. The cubic root of 2265206112 is about 1313.3160191372.

The spelling of 2265206112 in words is "two billion, two hundred sixty-five million, two hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 605023 1210046 1815069 2420092 3630138 4840184 5445207 7260276 7865299 9680368 10890414 14520552 15730598 19360736 21780828 23595897 29041104 31461196 43561656 47191794 58082208 62922392 70787691 87123312 94383588 125844784 141575382 174246624 188767176 251689568 283150764 377534352 566301528 755068704 1132603056 2265206112