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22131222012 = 22322363142359
BaseRepresentation
bin10100100111000111…
…111010010111111100
32010010100210120020100
4110213013322113330
5330311043101022
614100020521100
71412301166104
oct244707722774
963110716210
1022131222012
119427552729
124357850190
1321190a7a53
1410dd37c204
15897dee1ac
hex5271fa5fc

22131222012 has 72 divisors (see below), whose sum is σ = 58468999680. Its totient is φ = 7044982560.

The previous prime is 22131222011. The next prime is 22131222019. The reversal of 22131222012 is 21022213122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131222011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501289 + ... + 543647.

It is an arithmetic number, because the mean of its divisors is an integer number (812069440).

Almost surely, 222131222012 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 22131222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29234499840).

22131222012 is an abundant number, since it is smaller than the sum of its proper divisors (36337777668).

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

22131222012 is a wasteful number, since it uses less digits than its factorization.

22131222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43023 (or 43018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22131222012 its reverse (21022213122), we get a palindrome (43153435134).

The spelling of 22131222012 in words is "twenty-two billion, one hundred thirty-one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 631 828 1262 1893 2524 3786 5679 7572 11358 14513 22716 29026 42359 43539 58052 84718 87078 127077 130617 169436 174156 254154 261234 381231 508308 522468 762462 974257 1524924 1948514 2922771 3897028 5845542 8768313 11691084 17536626 26728529 35073252 53457058 80185587 106914116 160371174 240556761 320742348 481113522 614756167 962227044 1229512334 1844268501 2459024668 3688537002 5532805503 7377074004 11065611006 22131222012