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22221010112 = 267192990019
BaseRepresentation
bin10100101100011110…
…011011010011000000
32010100121202021100112
4110230132123103000
5331002034310422
614112545210452
71414441320020
oct245436332300
963317667315
1022221010112
1194731a9874
124381930a28
1321318843c2
14110b271a80
158a0c37ee2
hex52c79b4c0

22221010112 has 112 divisors (see below), whose sum is σ = 54876192000. Its totient is φ = 8710861824.

The previous prime is 22221010109. The next prime is 22221010121. The reversal of 22221010112 is 21101012222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 201839 + ... + 291857.

It is an arithmetic number, because the mean of its divisors is an integer number (489966000).

Almost surely, 222221010112 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 22221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27438096000).

22221010112 is an abundant number, since it is smaller than the sum of its proper divisors (32655181888).

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

22221010112 is a wasteful number, since it uses less digits than its factorization.

22221010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90086 (or 90076 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22221010112 its reverse (21101012222), we get a palindrome (43322022334).

The spelling of 22221010112 in words is "twenty-two billion, two hundred twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 133 152 203 224 232 266 304 406 448 464 532 551 608 812 928 1064 1102 1216 1624 1856 2128 2204 3248 3857 4256 4408 6496 7714 8512 8816 12992 15428 17632 30856 35264 61712 90019 123424 180038 246848 360076 630133 720152 1260266 1440304 1710361 2520532 2610551 2880608 3420722 5041064 5221102 5761216 6841444 10082128 10442204 11972527 13682888 18273857 20164256 20884408 23945054 27365776 36547714 40328512 41768816 47890108 49600469 54731552 73095428 83537632 95780216 99200938 109463104 146190856 167075264 191560432 198401876 292381712 347203283 383120864 396803752 584763424 694406566 766241728 793607504 1169526848 1388813132 1587215008 2777626264 3174430016 5555252528 11110505056 22221010112