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22033166112 = 2532233789899
BaseRepresentation
bin10100100001010001…
…110110111100100000
32002212112021210211100
4110201101312330200
5330110442303422
614042155114400
71410000551616
oct244121667440
962775253740
1022033166112
1193871698a1
12432aa42a00
1321019950c9
1410d03356b6
1588e4d07ac
hex521476f20

22033166112 has 144 divisors (see below), whose sum is σ = 67148827200. Its totient is φ = 6835124736.

The previous prime is 22033166107. The next prime is 22033166131. The reversal of 22033166112 is 21166133022.

22033166112 is a `hidden beast` number, since 2 + 2 + 0 + 33 + 16 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200139 + ... + 290037.

It is an arithmetic number, because the mean of its divisors is an integer number (466311300).

Almost surely, 222033166112 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 22033166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33574413600).

22033166112 is an abundant number, since it is smaller than the sum of its proper divisors (45115661088).

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

22033166112 is a wasteful number, since it uses less digits than its factorization.

22033166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89975 (or 89964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 22033166112 its reverse (21166133022), we get a palindrome (43199299134).

The spelling of 22033166112 in words is "twenty-two billion, thirty-three million, one hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 552 592 666 736 828 851 888 1104 1184 1332 1656 1702 1776 2208 2553 2664 3312 3404 3552 5106 5328 6624 6808 7659 10212 10656 13616 15318 20424 27232 30636 40848 61272 81696 89899 122544 179798 245088 269697 359596 539394 719192 809091 1078788 1438384 1618182 2067677 2157576 2876768 3236364 3326263 4135354 4315152 6203031 6472728 6652526 8270708 8630304 9978789 12406062 12945456 13305052 16541416 18609093 19957578 24812124 25890912 26610104 29936367 33082832 37218186 39915156 49624248 53220208 59872734 66165664 74436372 76504049 79830312 99248496 106440416 119745468 148872744 153008098 159660624 198496992 229512147 239490936 297745488 306016196 319321248 459024294 478981872 595490976 612032392 688536441 918048588 957963744 1224064784 1377072882 1836097176 2448129568 2754145764 3672194352 5508291528 7344388704 11016583056 22033166112