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22200102220122 = 232193711315525611
BaseRepresentation
bin1010000110000110111010…
…01101001111000101011010
32220121022100021221100202200
411003003131031033011122
510402211302132020442
6115114330340111030
74450622141233551
oct503033515170532
986538307840680
1022200102220122
11708a012a47562
1225a6641395476
13c505cb0a7448
1456a6c25dad98
1528772027a34c
hex1430dd34f15a

22200102220122 has 96 divisors (see below), whose sum is σ = 52460421923520. Its totient is φ = 6760720028160.

The previous prime is 22200102220057. The next prime is 22200102220129. The reversal of 22200102220122 is 22102220100222.

22200102220122 is a `hidden beast` number, since 2 + 220 + 0 + 102 + 220 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22200102220095 and 22200102220104.

It is not an unprimeable number, because it can be changed into a prime (22200102220129) 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, 6332904 + ... + 9192707.

It is an arithmetic number, because the mean of its divisors is an integer number (546462728370).

Almost surely, 222200102220122 is an apocalyptic number.

22200102220122 is an abundant number, since it is smaller than the sum of its proper divisors (30260319703398).

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

22200102220122 is a wasteful number, since it uses less digits than its factorization.

22200102220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15525788 (or 15525785 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200102220122 its reverse (22102220100222), we get a palindrome (44302322320344).

The spelling of 22200102220122 in words is "twenty-two trillion, two hundred billion, one hundred two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 113 114 171 222 226 333 339 342 666 678 703 1017 1406 2034 2109 2147 4181 4218 4294 6327 6441 8362 12543 12654 12882 19323 25086 37629 38646 75258 79439 158878 238317 476634 714951 1429902 15525611 31051222 46576833 93153666 139730499 279460998 294986609 574447607 589973218 884959827 1148895214 1723342821 1754394043 1769919654 2654879481 3446685642 3508788086 5170028463 5263182129 5309758962 10340056926 10526364258 10914504533 15789546387 21829009066 31579092774 32743513599 33333486817 64912579591 65487027198 66666973634 98230540797 100000460451 129825159182 194737738773 196461081594 200000920902 300001381353 389475477546 584213216319 600002762706 1168426432638 1233339012229 2466678024458 3700017036687 7400034073374 11100051110061 22200102220122