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20228832 = 2533131801
BaseRepresentation
bin100110100101…
…0101011100000
31102001201202000
41031022223200
520134310312
62001324000
7333641121
oct115125340
942051660
1020228832
1110467248
126936600
134263630
142988048
151b98adc
hex134aae0

20228832 has 96 divisors (see below), whose sum is σ = 63574560. Its totient is φ = 6220800.

The previous prime is 20228807. The next prime is 20228839. The reversal of 20228832 is 23882202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20228796 and 20228805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228839) 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, 10332 + ... + 12132.

It is an arithmetic number, because the mean of its divisors is an integer number (662235).

Almost surely, 220228832 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 20228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31787280).

20228832 is an abundant number, since it is smaller than the sum of its proper divisors (43345728).

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

20228832 is a wasteful number, since it uses less digits than its factorization.

20228832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20228832 is about 4497.6473850225. The cubic root of 20228832 is about 272.4730809758.

The spelling of 20228832 in words is "twenty million, two hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1801 1872 2808 3602 3744 5403 5616 7204 10806 11232 14408 16209 21612 23413 28816 32418 43224 46826 48627 57632 64836 70239 86448 93652 97254 129672 140478 172896 187304 194508 210717 259344 280956 374608 389016 421434 518688 561912 632151 749216 778032 842868 1123824 1264302 1556064 1685736 2247648 2528604 3371472 5057208 6742944 10114416 20228832