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220904024 = 231159157271
BaseRepresentation
bin11010010101010…
…11101001011000
3120101200002100112
431022223221120
5423022412044
633530423452
75321440025
oct1512535130
9511602315
10220904024
11103770510
1261b91b88
13369c6053
14214a454c
15145d809e
hexd2aba58

220904024 has 64 divisors (see below), whose sum is σ = 464140800. Its totient is φ = 97718400.

The previous prime is 220904011. The next prime is 220904063. The reversal of 220904024 is 420409022.

220904024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815009 + ... + 815279.

It is an arithmetic number, because the mean of its divisors is an integer number (7252200).

Almost surely, 2220904024 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 220904024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232070400).

220904024 is an abundant number, since it is smaller than the sum of its proper divisors (243236776).

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

220904024 is a wasteful number, since it uses less digits than its factorization.

220904024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 220904024 is about 14862.8403745717. The cubic root of 220904024 is about 604.5068257397.

The spelling of 220904024 in words is "two hundred twenty million, nine hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 157 236 271 314 472 542 628 649 1084 1256 1298 1727 2168 2596 2981 3454 5192 5962 6908 9263 11924 13816 15989 18526 23848 31978 37052 42547 63956 74104 85094 101893 127912 170188 175879 203786 340376 351758 407572 468017 703516 815144 936034 1407032 1872068 2510273 3744136 5020546 10041092 20082184 27613003 55226006 110452012 220904024