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22094016 = 263717967
BaseRepresentation
bin101010001001…
…0000011000000
31112120111021220
41110102003000
521124002031
62105315040
7355540020
oct124220300
945514256
1022094016
111152061a
127495a80
1347675a9
142d11a80
151e16596
hex15120c0

22094016 has 112 divisors (see below), whose sum is σ = 70811136. Its totient is φ = 5935104.

The previous prime is 22094011. The next prime is 22094071. The reversal of 22094016 is 61049022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22094011) 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 15 ways as a sum of consecutive naturals, for example, 22365 + ... + 23331.

Almost surely, 222094016 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 22094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35405568).

22094016 is an abundant number, since it is smaller than the sum of its proper divisors (48717120).

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

22094016 is a wasteful number, since it uses less digits than its factorization.

22094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22094016 is about 4700.4272146263. The cubic root of 22094016 is about 280.6025120909.

The spelling of 22094016 in words is "twenty-two million, ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 967 1088 1344 1428 1632 1904 1934 2856 2901 3264 3808 3868 5712 5802 6769 7616 7736 11424 11604 13538 15472 16439 20307 22848 23208 27076 30944 32878 40614 46416 49317 54152 61888 65756 81228 92832 98634 108304 115073 131512 162456 185664 197268 216608 230146 263024 324912 345219 394536 433216 460292 526048 649824 690438 789072 920584 1052096 1299648 1380876 1578144 1841168 2761752 3156288 3682336 5523504 7364672 11047008 22094016