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22240220031 = 332941261277
BaseRepresentation
bin10100101101100111…
…101101001101111111
32010101221220020102000
4110231213231031333
5331021444020111
614114513033343
71415063515431
oct245547551577
963357806360
1022240220031
11948302a537
124388255853
13213584c013
14110da32651
158a277ec56
hex52d9ed37f

22240220031 has 96 divisors (see below), whose sum is σ = 35637153600. Its totient is φ = 13687833600.

The previous prime is 22240220027. The next prime is 22240220033. The reversal of 22240220031 is 13002204222.

It is not a de Polignac number, because 22240220031 - 22 = 22240220027 is a prime.

It is a super-2 number, since 2×222402200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22240219986 and 22240220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80289465 + ... + 80289741.

It is an arithmetic number, because the mean of its divisors is an integer number (371220350).

Almost surely, 222240220031 is an apocalyptic number.

22240220031 is a deficient number, since it is larger than the sum of its proper divisors (13396933569).

22240220031 is a wasteful number, since it uses less digits than its factorization.

22240220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22240220031 its reverse (13002204222), we get a palindrome (35242424253).

The spelling of 22240220031 in words is "twenty-two billion, two hundred forty million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 9 27 29 41 61 87 123 183 261 277 369 549 783 831 1107 1189 1647 1681 1769 2493 2501 3567 5043 5307 7479 7503 8033 10701 11357 15129 15921 16897 22509 24099 32103 34071 45387 47763 48749 50691 67527 72297 72529 102213 102541 146247 152073 216891 217587 306639 307623 329353 438741 456219 465637 490013 652761 692777 922869 988059 1316223 1396911 1470039 1958283 2078331 2768607 2964177 2973689 4190733 4410117 6234993 8892531 8921067 12572199 13230351 13503473 18704979 20090533 26763201 28403857 40510419 60271599 80289603 85211571 121531257 180814797 255634713 364593771 542444391 766904139 823711853 2471135559 7413406677 22240220031