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20224896 = 273311699
BaseRepresentation
bin100110100100…
…1101110000000
31102001112100020
41031021232000
520134144041
62001253440
7333623466
oct115115600
942045306
1020224896
111046429a
126934280
1342618c3
142986836
151b97866
hex1349b80

20224896 has 64 divisors (see below), whose sum is σ = 55488000. Its totient is φ = 6520320.

The previous prime is 20224837. The next prime is 20224901. The reversal of 20224896 is 69842202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11055 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (867000).

Almost surely, 220224896 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 20224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27744000).

20224896 is an abundant number, since it is smaller than the sum of its proper divisors (35263104).

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

20224896 is a wasteful number, since it uses less digits than its factorization.

20224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20224896 is about 4497.2098016437. The cubic root of 20224896 is about 272.4554077918.

The spelling of 20224896 in words is "twenty million, two hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1699 1984 2976 3398 3968 5097 5952 6796 10194 11904 13592 20388 27184 40776 52669 54368 81552 105338 108736 158007 163104 210676 217472 316014 326208 421352 632028 652416 842704 1264056 1685408 2528112 3370816 5056224 6741632 10112448 20224896