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22052205056 = 29729331641
BaseRepresentation
bin10100100010011010…
…011111001000000000
32002220212010002100102
4110202122133020000
5330130331030211
614044115141532
71410321436010
oct244232371000
962825102312
1022052205056
119396993062
1243352a48a8
1321058ccc5b
1410d2a8dc40
15890ee1a3b
hex52269f200

22052205056 has 160 divisors (see below), whose sum is σ = 52331114880. Its totient is φ = 9083289600.

The previous prime is 22052205053. The next prime is 22052205083. The reversal of 22052205056 is 65050225022.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a pancake number, because a pancake can be divided into 22052205056 parts by 210010 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (22052205053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34402496 + ... + 34403136.

It is an arithmetic number, because the mean of its divisors is an integer number (327069468).

Almost surely, 222052205056 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 22052205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26165557440).

22052205056 is an abundant number, since it is smaller than the sum of its proper divisors (30278909824).

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

22052205056 is an equidigital number, since it uses as much as digits as its factorization.

22052205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 22052205056 in words is "twenty-two billion, fifty-two million, two hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 331 406 448 464 512 641 662 812 896 928 1282 1324 1624 1792 1856 2317 2564 2648 3248 3584 3712 4487 4634 5128 5296 6496 7424 8974 9268 9599 10256 10592 12992 14848 17948 18536 18589 19198 20512 21184 25984 35896 37072 37178 38396 41024 42368 51968 67193 71792 74144 74356 76792 82048 84736 103936 130123 134386 143584 148288 148712 153584 164096 169472 212171 260246 268772 287168 296576 297424 307168 328192 424342 520492 537544 574336 593152 594848 614336 848684 1040984 1075088 1148672 1186304 1189696 1228672 1485197 1697368 2081968 2150176 2297344 2379392 2457344 2970394 3394736 4163936 4300352 4758784 4914688 5940788 6152959 6789472 8327872 8600704 9517568 11881576 12305918 13578944 16655744 17201408 23763152 24611836 27157888 33311488 34402816 43070713 47526304 49223672 54315776 66622976 86141426 95052608 98447344 108631552 172282852 190105216 196894688 344565704 380210432 393789376 689131408 760420864 787578752 1378262816 1575157504 2756525632 3150315008 5513051264 11026102528 22052205056