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2271121164 = 22321317328051
BaseRepresentation
bin1000011101011110…
…1000111100001100
312212021111220112200
42013113220330030
514122401334124
61013210001500
7110165132334
oct20727507414
95767456480
102271121164
11a65a96a44
12534716290
132a26a35a0
141778b20c4
15d45b9bc9
hex875e8f0c

2271121164 has 72 divisors (see below), whose sum is σ = 6218455152. Its totient is φ = 694742400.

The previous prime is 2271121123. The next prime is 2271121187. The reversal of 2271121164 is 4611211722.

2271121164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66939 + ... + 94989.

Almost surely, 22271121164 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 2271121164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109227576).

2271121164 is an abundant number, since it is smaller than the sum of its proper divisors (3947333988).

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

2271121164 is a wasteful number, since it uses less digits than its factorization.

2271121164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28247 (or 28242 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2271121164 is about 47656.2814747437. The cubic root of 2271121164 is about 1314.4581640063.

Adding to 2271121164 its reverse (4611211722), we get a palindrome (6882332886).

The spelling of 2271121164 in words is "two billion, two hundred seventy-one million, one hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 28051 40482 56102 80964 84153 112204 168306 252459 336612 364663 504918 729326 1009836 1093989 1458652 2187978 3281967 4375956 4852823 6563934 9705646 13127868 14558469 19411292 29116938 43675407 58233876 63086699 87350814 126173398 174701628 189260097 252346796 378520194 567780291 757040388 1135560582 2271121164