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22122222112 = 2523793371129
BaseRepresentation
bin10100100110100101…
…100101001000100000
32010002201212022200201
4110212211211020200
5330301242101422
614055055554544
71412131533244
oct244645451040
963081768621
1022122222112
1194224659a1
12435482ba54
132117276473
1410dc0b8424
15897222727
hex526965220

22122222112 has 96 divisors (see below), whose sum is σ = 46199462400. Its totient is φ = 10406043648.

The previous prime is 22122222071. The next prime is 22122222131. The reversal of 22122222112 is 21122222122.

It is a super-2 number, since 2×221222221122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22122222112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19593964 + ... + 19595092.

It is an arithmetic number, because the mean of its divisors is an integer number (481244400).

Almost surely, 222122222112 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 22122222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23099731200).

22122222112 is an abundant number, since it is smaller than the sum of its proper divisors (24077240288).

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

22122222112 is a wasteful number, since it uses less digits than its factorization.

22122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

Adding to 22122222112 its reverse (21122222122), we get a palindrome (43244444234).

The spelling of 22122222112 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 79 92 158 184 316 337 368 632 674 736 1129 1264 1348 1817 2258 2528 2696 3634 4516 5392 7268 7751 9032 10784 14536 15502 18064 25967 26623 29072 31004 36128 51934 53246 58144 62008 89191 103868 106492 124016 178382 207736 212984 248032 356764 380473 415472 425968 612329 713528 760946 830944 851936 1224658 1427056 1521892 2051393 2449316 2854112 3043784 4102786 4898632 6087568 8205572 8750879 9797264 12175136 16411144 17501758 19594528 30057367 32822288 35003516 60114734 65644576 70007032 120229468 140014064 240458936 280028128 480917872 691319441 961835744 1382638882 2765277764 5530555528 11061111056 22122222112