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22220201112 = 23337613111319
BaseRepresentation
bin10100101100011011…
…010101110010011000
32010100120020011121120
4110230123111302120
5331001332413422
614112520005240
71414431410304
oct245433256230
963316204546
1022220201112
1194727a6a7a
124381600820
1321316600c5
14110b100d04
158a0b2845c
hex52c6d5c98

22220201112 has 128 divisors (see below), whose sum is σ = 58217702400. Its totient is φ = 7060262400.

The previous prime is 22220201093. The next prime is 22220201317. The reversal of 22220201112 is 21110202222.

It is a junction number, because it is equal to n+sod(n) for n = 22220201091 and 22220201100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16845589 + ... + 16846907.

It is an arithmetic number, because the mean of its divisors is an integer number (454825800).

Almost surely, 222220201112 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 22220201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29108851200).

22220201112 is an abundant number, since it is smaller than the sum of its proper divisors (35997501288).

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

22220201112 is a wasteful number, since it uses less digits than its factorization.

22220201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22220201112 its reverse (21110202222), we get a palindrome (43330403334).

The spelling of 22220201112 in words is "twenty-two billion, two hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 311 366 444 488 622 732 888 933 1244 1319 1464 1866 2257 2488 2638 3732 3957 4514 5276 6771 7464 7914 9028 10552 11507 13542 15828 18056 18971 23014 27084 31656 34521 37942 46028 48803 54168 56913 69042 75884 80459 92056 97606 113826 138084 146409 151768 160918 195212 227652 241377 276168 292818 321836 390424 410209 455304 482754 585636 643672 701927 820418 965508 1171272 1230627 1403854 1640836 1931016 2105781 2461254 2807708 2976983 3281672 4211562 4922508 5615416 5953966 8423124 8930949 9845016 11907932 15177733 16846248 17861898 23815864 25022749 30355466 35723796 45533199 50045498 60710932 71447592 75068247 91066398 100090996 121421864 150136494 182132796 200181992 300272988 364265592 600545976 925841713 1851683426 2777525139 3703366852 5555050278 7406733704 11110100556 22220201112