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22286249442 = 2343723172
BaseRepresentation
bin10100110000010111…
…010010110111100010
32010112011111202220000
4110300113102313202
5331120234440232
614123235400430
71416162665112
oct246027226742
963464452800
1022286249442
1194a7009076
12439b753116
132142247062
141115bb5042
158a682327c
hex5305d2de2

22286249442 has 90 divisors (see below), whose sum is σ = 51486267987. Its totient is φ = 7205171616.

The previous prime is 22286249437. The next prime is 22286249449. The reversal of 22286249442 is 24494268222.

It can be written as a sum of positive squares in 5 ways, for example, as 9116621361 + 13169628081 = 95481^2 + 114759^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105561.

It is a super-3 number, since 3×222862494423 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22286249449) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 70303468 + ... + 70303784.

Almost surely, 222286249442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22286249442

22286249442 is an abundant number, since it is smaller than the sum of its proper divisors (29200018545).

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

22286249442 is an frugal number, since it uses more digits than its factorization.

22286249442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 22286249442 in words is "twenty-two billion, two hundred eighty-six million, two hundred forty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 317 333 634 666 951 999 1369 1902 1998 2738 2853 2997 4107 5706 5994 8214 8559 11729 12321 17118 23458 24642 25677 35187 36963 51354 70374 73926 100489 105561 110889 200978 211122 221778 301467 316683 433973 602934 633366 867946 904401 950049 1301919 1808802 1900098 2603838 2713203 3718093 3905757 5426406 7436186 7811514 8139609 11154279 11717271 16279218 22308558 23434542 33462837 35151813 66925674 70303626 100388511 137569441 200777022 275138882 301165533 412708323 602331066 825416646 1238124969 2476249938 3714374907 7428749814 11143124721 22286249442