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22059072 = 263275471
BaseRepresentation
bin101010000100…
…1100001000000
31112111201100200
41110021201000
521121342242
62104445200
7355333110
oct124114100
945451320
1022059072
11114a7342
127479800
134754709
142d03040
151e0b04c
hex1509840

22059072 has 84 divisors (see below), whose sum is σ = 72274176. Its totient is φ = 6301440.

The previous prime is 22059071. The next prime is 22059083. The reversal of 22059072 is 27095022.

It is a happy number.

22059072 is a `hidden beast` number, since 2 + 2 + 0 + 590 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (22059071) 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, 1297 + ... + 6767.

Almost surely, 222059072 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 22059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137088).

22059072 is an abundant number, since it is smaller than the sum of its proper divisors (50215104).

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

22059072 is a wasteful number, since it uses less digits than its factorization.

22059072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22059072 is about 4696.7086347782. The cubic root of 22059072 is about 280.4544999453.

The spelling of 22059072 in words is "twenty-two million, fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5471 10942 16413 21884 32826 38297 43768 49239 65652 76594 87536 98478 114891 131304 153188 175072 196956 229782 262608 306376 344673 350144 393912 459564 525216 612752 689346 787824 919128 1050432 1225504 1378692 1575648 1838256 2451008 2757384 3151296 3676512 5514768 7353024 11029536 22059072