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22213031112 = 2334155322073
BaseRepresentation
bin10100101011111111…
…111111010011001000
32010100001201220020000
4110223333333103020
5330443013443422
614112102203000
71414313435436
oct245377772310
963301656200
1022213031112
11946974a058
12437b123460
13213001c6bc
14110a195d56
158a01adcac
hex52bfff4c8

22213031112 has 80 divisors (see below), whose sum is σ = 62259937740. Its totient is φ = 7399240704.

The previous prime is 22213031083. The next prime is 22213031131. The reversal of 22213031112 is 21113031222.

22213031112 is a `hidden beast` number, since 222 + 130 + 311 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22089687876 + 123343236 = 148626^2 + 11106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 995308 + ... + 1017380.

Almost surely, 222213031112 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 22213031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31129968870).

22213031112 is an abundant number, since it is smaller than the sum of its proper divisors (40046906628).

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

22213031112 is a wasteful number, since it uses less digits than its factorization.

22213031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23644 (or 23631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22213031112 its reverse (21113031222), we get a palindrome (43326062334).

The spelling of 22213031112 in words is "twenty-two billion, two hundred thirteen million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1553 3106 4659 6212 9318 12424 13977 18636 22073 27954 37272 41931 44146 55908 66219 83862 88292 111816 125793 132438 167724 176584 198657 251586 264876 335448 397314 503172 529752 595971 794628 1006344 1191942 1589256 1787913 2383884 3575826 4767768 7151652 14303304 34279369 68558738 102838107 137117476 205676214 274234952 308514321 411352428 617028642 822704856 925542963 1234057284 1851085926 2468114568 2776628889 3702171852 5553257778 7404343704 11106515556 22213031112