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22112021312 = 2617177711437
BaseRepresentation
bin10100100101111110…
…101010101101000000
32010002000200001211022
4110211332222231000
5330241134140222
614054053205012
71411646036303
oct244576525500
963060601738
1022112021312
119417728987
124351330768
1321151143a4
1410da9c0b3a
158963aa042
hex525faab40

22112021312 has 56 divisors (see below), whose sum is σ = 46489842504. Its totient is φ = 10398892032.

The previous prime is 22112021299. The next prime is 22112021339. The reversal of 22112021312 is 21312021122.

It can be written as a sum of positive squares in 4 ways, for example, as 4001321536 + 18110699776 = 63256^2 + 134576^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927658 + ... + 1939094.

It is an arithmetic number, because the mean of its divisors is an integer number (830175759).

Almost surely, 222112021312 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 22112021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23244921252).

22112021312 is an abundant number, since it is smaller than the sum of its proper divisors (24377821192).

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

22112021312 is a wasteful number, since it uses less digits than its factorization.

22112021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22112021312 its reverse (21312021122), we get a palindrome (43424042434).

The spelling of 22112021312 in words is "twenty-two billion, one hundred twelve million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1777 3554 7108 11437 14216 22874 28432 30209 45748 56864 60418 91496 113728 120836 182992 194429 241672 365984 388858 483344 731968 777716 966688 1555432 1933376 3110864 6221728 12443456 20323549 40647098 81294196 162588392 325176784 345500333 650353568 691000666 1300707136 1382001332 2764002664 5528005328 11056010656 22112021312