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22099968 = 2113211109
BaseRepresentation
bin101010001001…
…1100000000000
31112120210110100
41110103200000
521124144333
62105402400
7355563252
oct124234000
945523410
1022099968
1111525040
127499400
13476a207
142d13cd2
151e18213
hex1513800

22099968 has 144 divisors (see below), whose sum is σ = 70270200. Its totient is φ = 6635520.

The previous prime is 22099967. The next prime is 22099997. The reversal of 22099968 is 86999022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22099967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202698 + ... + 202806.

Almost surely, 222099968 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 22099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135100).

22099968 is an abundant number, since it is smaller than the sum of its proper divisors (48170232).

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

22099968 is a wasteful number, since it uses less digits than its factorization.

22099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 22099968 is about 4701.0603059310. The cubic root of 22099968 is about 280.6277073927.

The spelling of 22099968 in words is "twenty-two million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 109 128 132 144 176 192 198 218 256 264 288 327 352 384 396 436 512 528 576 654 704 768 792 872 981 1024 1056 1152 1199 1308 1408 1536 1584 1744 1962 2048 2112 2304 2398 2616 2816 3072 3168 3488 3597 3924 4224 4608 4796 5232 5632 6144 6336 6976 7194 7848 8448 9216 9592 10464 10791 11264 12672 13952 14388 15696 16896 18432 19184 20928 21582 22528 25344 27904 28776 31392 33792 38368 41856 43164 50688 55808 57552 62784 67584 76736 83712 86328 101376 111616 115104 125568 153472 167424 172656 202752 223232 230208 251136 306944 334848 345312 460416 502272 613888 669696 690624 920832 1004544 1227776 1381248 1841664 2009088 2455552 2762496 3683328 5524992 7366656 11049984 22099968