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22210222112 = 2513294214373
BaseRepresentation
bin10100101011110101…
…010001100000100000
32010022212110011222222
4110223311101200200
5330441304101422
614111522050212
71414250526101
oct245365214040
963285404888
1022210222112
119468100671
12437a1a9968
13212c577c80
141109a643a8
1589ed06842
hex52bd51820

22210222112 has 96 divisors (see below), whose sum is σ = 48840608880. Its totient is φ = 9871626240.

The previous prime is 22210222063. The next prime is 22210222123. The reversal of 22210222112 is 21122201222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1714291216 + 20495930896 = 41404^2 + 143164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5076758 + ... + 5081130.

Almost surely, 222210222112 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 22210222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420304440).

22210222112 is an abundant number, since it is smaller than the sum of its proper divisors (26630386768).

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

22210222112 is a wasteful number, since it uses less digits than its factorization.

22210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22210222112 its reverse (21122201222), we get a palindrome (43332423334).

The spelling of 22210222112 in words is "twenty-two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 421 464 754 842 928 1508 1684 3016 3368 4373 5473 6032 6736 8746 10946 12064 12209 13472 17492 21892 24418 34984 43784 48836 56849 69968 87568 97672 113698 126817 139936 158717 175136 195344 227396 253634 317434 390688 454792 507268 634868 909584 1014536 1269736 1648621 1819168 1841033 2029072 2539472 3297242 3682066 4058144 5078944 6594484 7364132 13188968 14728264 23933429 26377936 29456528 47866858 52755872 53389957 58913056 95733716 106779914 191467432 213559828 382934864 427119656 694069441 765869728 854239312 1388138882 1708478624 2776277764 5552555528 11105111056 22210222112