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22241204244 = 223271743120737
BaseRepresentation
bin10100101101101011…
…011101100000010100
32010102000202020111100
4110231223131200110
5331022222013434
614114550110100
71415105055030
oct245553354024
963360666440
1022241204244
119483641a36
12438864b330
132135b04cac
14110dc0b1c0
158a28c6699
hex52dadd814

22241204244 has 144 divisors (see below), whose sum is σ = 69614633088. Its totient is φ = 5841690624.

The previous prime is 22241204221. The next prime is 22241204267. The reversal of 22241204244 is 44240214222.

22241204244 is a `hidden beast` number, since 2 + 2 + 2 + 412 + 0 + 4 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (22241204221) and next prime (22241204267).

It is a super-2 number, since 2×222412042442 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 123844 + ... + 244580.

It is an arithmetic number, because the mean of its divisors is an integer number (483434952).

Almost surely, 222241204244 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 22241204244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34807316544).

22241204244 is an abundant number, since it is smaller than the sum of its proper divisors (47373428844).

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

22241204244 is a wasteful number, since it uses less digits than its factorization.

22241204244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120814 (or 120809 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22241204244 its reverse (44240214222), we get a palindrome (66481418466).

The spelling of 22241204244 in words is "twenty-two billion, two hundred forty-one million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 119 126 129 153 172 204 238 252 258 301 306 357 387 476 516 602 612 714 731 774 903 1071 1204 1428 1462 1548 1806 2142 2193 2709 2924 3612 4284 4386 5117 5418 6579 8772 10234 10836 13158 15351 20468 26316 30702 46053 61404 92106 120737 184212 241474 362211 482948 724422 845159 1086633 1448844 1690318 2052529 2173266 2535477 3380636 4105058 4346532 5070954 5191691 6157587 7606431 8210116 10141908 10383382 12315174 14367703 15212862 15575073 18472761 20766764 24630348 28735406 30425724 31150146 36341837 36945522 43103109 46725219 57470812 62300292 72683674 73891044 86206218 88258747 93450438 109025511 129309327 145367348 172412436 176517494 186900876 218051022 258618654 264776241 327076533 353034988 436102044 517237308 529552482 617811229 654153066 794328723 1059104964 1235622458 1308306132 1588657446 1853433687 2471244916 3177314892 3706867374 5560301061 7413734748 11120602122 22241204244