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22044245652 = 223211135218219
BaseRepresentation
bin10100100001111100…
…000111111010010100
32002220022010201002200
4110201330013322110
5330121311330102
614043232404500
71410163665522
oct244174077224
962808121080
1022044245652
119392447040
1243326a6730
132104074150
1410d19bb312
1589046d51c
hex521f07e94

22044245652 has 144 divisors (see below), whose sum is σ = 65598361920. Its totient is φ = 6153638400.

The previous prime is 22044245633. The next prime is 22044245653. The reversal of 22044245652 is 25654244022.

22044245652 is a `hidden beast` number, since 220 + 4 + 424 + 5 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22044245653) 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 47 ways as a sum of consecutive naturals, for example, 2677999 + ... + 2686217.

It is an arithmetic number, because the mean of its divisors is an integer number (455544180).

Almost surely, 222044245652 is an apocalyptic number.

22044245652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22044245652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32799180960).

22044245652 is an abundant number, since it is smaller than the sum of its proper divisors (43554116268).

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

22044245652 is a wasteful number, since it uses less digits than its factorization.

22044245652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 22044245652 its reverse (25654244022), we get a palindrome (47698489674).

The spelling of 22044245652 in words is "twenty-two billion, forty-four million, two hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 521 572 858 1042 1287 1563 1716 2084 2574 3126 4689 5148 5731 6252 6773 8219 9378 11462 13546 16438 17193 18756 20319 22924 24657 27092 32876 34386 40638 49314 51579 60957 68772 73971 74503 81276 90409 98628 103158 106847 121914 147942 149006 180818 206316 213694 223509 243828 271227 295884 298012 320541 361636 427388 447018 542454 641082 670527 813681 894036 961623 1084908 1175317 1282164 1341054 1627362 1923246 2350634 2682108 3254724 3525951 3846492 4282099 4701268 7051902 8564198 10577853 12846297 14103804 17128396 21155706 25692594 38538891 42311412 47103089 51385188 55667287 77077782 94206178 111334574 141309267 154155564 167001861 188412356 222669148 282618534 334003722 423927801 501005583 565237068 612340157 668007444 847855602 1002011166 1224680314 1695711204 1837020471 2004022332 2449360628 3674040942 5511061413 7348081884 11022122826 22044245652