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22266112236 = 223171943313267
BaseRepresentation
bin10100101111001010…
…011110100011101100
32010110202121200211120
4110233022132203230
5331100111042421
614121240020540
71415526555054
oct245712364354
963422550746
1022266112236
119496704755
124394a61750
13213b016354
141113252564
158a4b968c6
hex52f29e8ec

22266112236 has 96 divisors (see below), whose sum is σ = 58043784960. Its totient is φ = 6602010624.

The previous prime is 22266112177. The next prime is 22266112237. The reversal of 22266112236 is 63221166222.

It is a happy number.

It is a super-2 number, since 2×222661122362 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22266112197 and 22266112206.

It is not an unprimeable number, because it can be changed into a prime (22266112237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671675 + ... + 1684941.

It is an arithmetic number, because the mean of its divisors is an integer number (604622760).

Almost surely, 222266112236 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 22266112236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29021892480).

22266112236 is an abundant number, since it is smaller than the sum of its proper divisors (35777672724).

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

22266112236 is a wasteful number, since it uses less digits than its factorization.

22266112236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13741 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 22266112236 its reverse (63221166222), we get a palindrome (85487278458).

The spelling of 22266112236 in words is "twenty-two billion, two hundred sixty-six million, one hundred twelve thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 433 646 866 969 1292 1299 1732 1938 2598 3876 5196 7361 8227 13267 14722 16454 22083 24681 26534 29444 32908 39801 44166 49362 53068 79602 88332 98724 139859 159204 225539 252073 279718 419577 451078 504146 559436 676617 756219 839154 902156 1008292 1353234 1512438 1678308 2706468 3024876 4285241 5744611 8570482 11489222 12855723 17140964 17233833 22978444 25711446 34467666 51422892 68935332 97658387 109147609 195316774 218295218 292975161 327442827 390633548 436590436 585950322 654885654 1171900644 1309771308 1855509353 3711018706 5566528059 7422037412 11133056118 22266112236