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20225856 = 2637101149
BaseRepresentation
bin100110100100…
…1111101000000
31102001120122210
41031021331000
520134211411
62001302120
7333626340
oct115117500
942046583
1020225856
1110464a92
126934940
134262181
142986d20
151b97ca6
hex1349f40

20225856 has 112 divisors (see below), whose sum is σ = 62179200. Its totient is φ = 5683200.

The previous prime is 20225851. The next prime is 20225897. The reversal of 20225856 is 65852202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135670 + ... + 135818.

Almost surely, 220225856 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 20225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089600).

20225856 is an abundant number, since it is smaller than the sum of its proper divisors (41953344).

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

20225856 is a wasteful number, since it uses less digits than its factorization.

20225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 20225856 is about 4497.3165332229. The cubic root of 20225856 is about 272.4597185359.

The spelling of 20225856 in words is "twenty million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 149 168 192 202 224 298 303 336 404 447 448 596 606 672 707 808 894 1043 1192 1212 1344 1414 1616 1788 2086 2121 2384 2424 2828 3129 3232 3576 4172 4242 4768 4848 5656 6258 6464 7152 8344 8484 9536 9696 11312 12516 14304 15049 16688 16968 19392 22624 25032 28608 30098 33376 33936 45147 45248 50064 60196 66752 67872 90294 100128 105343 120392 135744 180588 200256 210686 240784 316029 361176 421372 481568 632058 722352 842744 963136 1264116 1444704 1685488 2528232 2889408 3370976 5056464 6741952 10112928 20225856