Search a number
-
+
22094072 = 23711133189
BaseRepresentation
bin101010001001…
…0000011111000
31112120111100222
41110102003320
521124002242
62105315212
7355540130
oct124220370
945514328
1022094072
1111520670
127495b08
134767620
142d11ac0
151e165d2
hex15120f8

22094072 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 7603200.

The previous prime is 22094071. The next prime is 22094077. The reversal of 22094072 is 27049022.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22094071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248204 + ... + 248292.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 222094072 is an apocalyptic number.

22094072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22094072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

22094072 is an abundant number, since it is smaller than the sum of its proper divisors (35966728).

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

22094072 is a wasteful number, since it uses less digits than its factorization.

22094072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 22094072 is about 4700.4331715279. The cubic root of 22094072 is about 280.6027491646.

The spelling of 22094072 in words is "twenty-two million, ninety-four thousand, seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 89 91 104 124 143 154 178 182 217 248 286 308 341 356 364 403 434 572 616 623 682 712 728 806 868 979 1001 1144 1157 1246 1364 1612 1736 1958 2002 2314 2387 2492 2728 2759 2821 3224 3916 4004 4433 4628 4774 4984 5518 5642 6853 7832 8008 8099 8866 9256 9548 11036 11284 12727 13706 16198 17732 19096 19313 22072 22568 25454 27412 30349 31031 32396 35464 35867 38626 50908 54824 60698 62062 64792 71734 77252 89089 101816 121396 124124 143468 154504 178178 212443 242792 248248 251069 286936 356356 394537 424886 502138 712712 789074 849772 1004276 1578148 1699544 2008552 2761759 3156296 5523518 11047036 22094072