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2268991764 = 223413538697
BaseRepresentation
bin1000011100111110…
…0001000100010100
312212010111201120000
42013033201010110
514121330214024
61013052211300
7110141053224
oct20717410424
95763451500
102268991764
11a64872106
12533a69b30
132a21092a0
141774ba084
15d42e8cc9
hex873e1114

2268991764 has 60 divisors (see below), whose sum is σ = 6387880884. Its totient is φ = 698150016.

The previous prime is 2268991727. The next prime is 2268991771. The reversal of 2268991764 is 4671998622.

It can be written as a sum of positive squares in 2 ways, for example, as 129004164 + 2139987600 = 11358^2 + 46260^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2268991764.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 265137 + ... + 273560.

Almost surely, 22268991764 is an apocalyptic number.

It is an amenable number.

2268991764 is an abundant number, since it is smaller than the sum of its proper divisors (4118889120).

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

2268991764 is a wasteful number, since it uses less digits than its factorization.

2268991764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538726 (or 538715 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2268991764 is about 47633.9350043643. The cubic root of 2268991764 is about 1314.0472241738.

The spelling of 2268991764 in words is "two billion, two hundred sixty-eight million, nine hundred ninety-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 538697 1077394 1616091 2154788 3232182 4848273 6464364 7003061 9696546 14006122 14544819 19393092 21009183 28012244 29089638 42018366 43634457 58179276 63027549 84036732 87268914 126055098 174537828 189082647 252110196 378165294 567247941 756330588 1134495882 2268991764