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2275155968 = 213172312
BaseRepresentation
bin1000011110011100…
…0010000000000000
312212120002220020212
42013213002000000
514124414442333
61013432253252
7110244335531
oct20747020000
95776086225
102275155968
11a682a2398
12535b41228
132a3486c47
14178242688
15d4b15448
hex879c2000

2275155968 has 126 divisors (see below), whose sum is σ = 4994373933. Its totient is φ = 1036124160.

The previous prime is 2275155941. The next prime is 2275155977. The reversal of 2275155968 is 8695515722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2082279424 + 192876544 = 45632^2 + 13888^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33728.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (1512000) is a multiple of the sum of its prime divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73392113 + ... + 73392143.

Almost surely, 22275155968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275155968

2275155968 is an abundant number, since it is smaller than the sum of its proper divisors (2719217965).

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

2275155968 is an frugal number, since it uses more digits than its factorization.

2275155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 50 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 50.

The square root of 2275155968 is about 47698.5950317197. The cubic root of 2275155968 is about 1315.2361121422.

Multiplying 2275155968 by its sum of digits (50), we get a square (113757798400 = 3372802).

The spelling of 2275155968 in words is "two billion, two hundred seventy-five million, one hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 289 496 512 527 544 578 961 992 1024 1054 1088 1156 1922 1984 2048 2108 2176 2312 3844 3968 4096 4216 4352 4624 7688 7936 8192 8432 8704 8959 9248 15376 15872 16337 16864 17408 17918 18496 30752 31744 32674 33728 34816 35836 36992 61504 63488 65348 67456 69632 71672 73984 123008 126976 130696 134912 139264 143344 147968 246016 253952 261392 269824 277729 286688 295936 492032 522784 539648 555458 573376 591872 984064 1045568 1079296 1110916 1146752 1183744 1968128 2091136 2158592 2221832 2293504 2367488 3936256 4182272 4317184 4443664 4587008 7872512 8364544 8887328 9174016 16729088 17774656 18348032 33458176 35549312 36696064 66916352 71098624 73392128 133832704 142197248 284394496 568788992 1137577984 2275155968