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20656224 = 2532174219
BaseRepresentation
bin100111011001…
…1000001100000
31102212110000100
41032303001200
520241444344
62014422400
7340401141
oct116630140
942773010
1020656224
1110729366
126b01a00
134383024
142a59ac8
151c30569
hex13b3060

20656224 has 72 divisors (see below), whose sum is σ = 62211240. Its totient is φ = 6478848.

The previous prime is 20656219. The next prime is 20656253. The reversal of 20656224 is 42265602.

20656224 is a `hidden beast` number, since 2 + 0 + 656 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2787 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 220656224 is an apocalyptic number.

20656224 is a gapful number since it is divisible by the number (24) 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 20656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31105620).

20656224 is an abundant number, since it is smaller than the sum of its proper divisors (41555016).

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

20656224 is a wasteful number, since it uses less digits than its factorization.

20656224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20656224 is about 4544.9118803339. The cubic root of 20656224 is about 274.3786478242.

The spelling of 20656224 in words is "twenty million, six hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4219 4896 8438 12657 16876 25314 33752 37971 50628 67504 71723 75942 101256 135008 143446 151884 202512 215169 286892 303768 405024 430338 573784 607536 645507 860676 1147568 1215072 1291014 1721352 2295136 2582028 3442704 5164056 6885408 10328112 20656224