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22212110112 = 2532415931619
BaseRepresentation
bin10100101011111100…
…011110011100100000
32010100000000002211220
4110223330132130200
5330442300010422
614112030335040
71414302551343
oct245374363440
963300002756
1022212110112
1194691800a5
12437a95a480
13212ca8942a
141109dd645a
158a007ae5c
hex52bf1e720

22212110112 has 96 divisors (see below), whose sum is σ = 58683683520. Its totient is φ = 7356334080.

The previous prime is 22212110093. The next prime is 22212110131. The reversal of 22212110112 is 21101121222.

It is an interprime number because it is at equal distance from previous prime (22212110093) and next prime (22212110131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×222121101122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22212110091 and 22212110100.

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, 13718839 + ... + 13720457.

It is an arithmetic number, because the mean of its divisors is an integer number (611288370).

Almost surely, 222212110112 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 22212110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341841760).

22212110112 is an abundant number, since it is smaller than the sum of its proper divisors (36471573408).

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

22212110112 is a wasteful number, since it uses less digits than its factorization.

22212110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22212110112 its reverse (21101121222), we get a palindrome (43313231334).

The spelling of 22212110112 in words is "twenty-two billion, two hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 593 723 964 1186 1446 1619 1779 1928 2372 2892 3238 3558 3856 4744 4857 5784 6476 7116 7712 9488 9714 11568 12952 14232 18976 19428 23136 25904 28464 38856 51808 56928 77712 142913 155424 285826 390179 428739 571652 780358 857478 960067 1143304 1170537 1560716 1714956 1920134 2286608 2341074 2880201 3121432 3429912 3840268 4573216 4682148 5760402 6242864 6859824 7680536 9364296 11520804 12485728 13719648 15361072 18728592 23041608 30722144 37457184 46083216 92166432 231376147 462752294 694128441 925504588 1388256882 1851009176 2776513764 3702018352 5553027528 7404036704 11106055056 22212110112