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22082112 = 263313983
BaseRepresentation
bin101010000111…
…1001001000000
31112112212222000
41110033021000
521123111422
62105144000
7355460223
oct124171100
945485860
1022082112
1111512688
12748b000
134762050
142d0b5ba
151e12cac
hex150f240

22082112 has 112 divisors (see below), whose sum is σ = 69982080. Its totient is φ = 6787584.

The previous prime is 22082101. The next prime is 22082113. The reversal of 22082112 is 21128022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22082113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21973 + ... + 22955.

It is an arithmetic number, because the mean of its divisors is an integer number (624840).

Almost surely, 222082112 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 22082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34991040).

22082112 is an abundant number, since it is smaller than the sum of its proper divisors (47899968).

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

22082112 is a wasteful number, since it uses less digits than its factorization.

22082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22082112 is about 4699.1607761387. The cubic root of 22082112 is about 280.5521079093.

The spelling of 22082112 in words is "twenty-two million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 983 1248 1404 1728 1872 1966 2496 2808 2949 3744 3932 5616 5898 7488 7864 8847 11232 11796 12779 15728 17694 22464 23592 25558 26541 31456 35388 38337 47184 51116 53082 62912 70776 76674 94368 102232 106164 115011 141552 153348 188736 204464 212328 230022 283104 306696 345033 408928 424656 460044 566208 613392 690066 817856 849312 920088 1226784 1380132 1698624 1840176 2453568 2760264 3680352 5520528 7360704 11041056 22082112