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20220256 = 257194751
BaseRepresentation
bin100110100100…
…0100101100000
31102001021222101
41031020211200
520134022011
62001220144
7333604120
oct115104540
942037871
1020220256
1110460861
126931654
13425c764
142984c80
151b962c1
hex1348960

20220256 has 48 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 8208000.

The previous prime is 20220253. The next prime is 20220269. The reversal of 20220256 is 65202202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 6631.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 220220256 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 20220256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

20220256 is an abundant number, since it is smaller than the sum of its proper divisors (27679904).

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

20220256 is a wasteful number, since it uses less digits than its factorization.

20220256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20220256 is about 4496.6938966312. The cubic root of 20220256 is about 272.4345706054.

Adding to 20220256 its reverse (65202202), we get a palindrome (85422458).

The spelling of 20220256 in words is "twenty million, two hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 4751 9502 19004 33257 38008 66514 76016 90269 133028 152032 180538 266056 361076 532112 631883 722152 1064224 1263766 1444304 2527532 2888608 5055064 10110128 20220256