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22224308652 = 223271315144927
BaseRepresentation
bin10100101100101011…
…000000100110101100
32010100211221212002200
4110230223000212230
5331003410334102
614113144021500
71414511335530
oct245453004654
963324855080
1022224308652
119475052037
124382a61890
13213246a8c0
14110b88dbc0
158a118a51c
hex52cac09ac

22224308652 has 144 divisors (see below), whose sum is σ = 69601738752. Its totient is φ = 5822409600.

The previous prime is 22224308651. The next prime is 22224308737. The reversal of 22224308652 is 25680342222.

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

It is not an unprimeable number, because it can be changed into a prime (22224308651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472213 + ... + 517139.

It is an arithmetic number, because the mean of its divisors is an integer number (483345408).

Almost surely, 222224308652 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 22224308652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34800869376).

22224308652 is an abundant number, since it is smaller than the sum of its proper divisors (47377430100).

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

22224308652 is a wasteful number, since it uses less digits than its factorization.

22224308652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45108 (or 45103 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22224308652 in words is "twenty-two billion, two hundred twenty-four million, three hundred eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 151 156 182 234 252 273 302 364 453 468 546 604 819 906 1057 1092 1359 1638 1812 1963 2114 2718 3171 3276 3926 4228 5436 5889 6342 7852 9513 11778 12684 13741 17667 19026 23556 27482 35334 38052 41223 44927 54964 70668 82446 89854 123669 134781 164892 179708 247338 269562 314489 404343 494676 539124 584051 628978 808686 943467 1168102 1257956 1617372 1752153 1886934 2336204 2830401 3504306 3773868 4088357 5256459 5660802 6783977 7008612 8176714 10512918 11321604 12265071 13567954 16353428 20351931 21025836 24530142 27135908 36795213 40703862 47487839 49060284 61055793 73590426 81407724 88191701 94975678 122111586 142463517 147180852 176383402 189951356 244223172 264575103 284927034 352766804 427390551 529150206 569854068 617341907 793725309 854781102 1058300412 1234683814 1587450618 1709562204 1852025721 2469367628 3174901236 3704051442 5556077163 7408102884 11112154326 22224308652