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289251220 = 225232921683
BaseRepresentation
bin10001001111011…
…001111110010100
3202011021111002011
4101033121332110
51043022014340
644411354004
710111411006
oct2117317624
9664244064
10289251220
111393027a5
1280a52904
1347c0648b
142a5b6376
151a5d90ea
hex113d9f94

289251220 has 48 divisors (see below), whose sum is σ = 655724160. Its totient is φ = 106848896.

The previous prime is 289251211. The next prime is 289251233. The reversal of 289251220 is 22152982.

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, 2499 + ... + 24181.

It is an arithmetic number, because the mean of its divisors is an integer number (13660920).

Almost surely, 2289251220 is an apocalyptic number.

289251220 is a gapful number since it is divisible by the number (20) 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 289251220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327862080).

289251220 is an abundant number, since it is smaller than the sum of its proper divisors (366472940).

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

289251220 is a wasteful number, since it uses less digits than its factorization.

289251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744 (or 21742 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 289251220 is about 17007.3872185001. The cubic root of 289251220 is about 661.3404194045.

The spelling of 289251220 in words is "two hundred eighty-nine million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 21683 43366 86732 108415 216830 433660 498709 628807 997418 1257614 1994836 2493545 2515228 3144035 4987090 6288070 9974180 12576140 14462561 28925122 57850244 72312805 144625610 289251220