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2259220 = 225374371
BaseRepresentation
bin1000100111100100010100
311020210001211
420213210110
51034243340
6120231204
725126435
oct10474424
94223054
102259220
111303427
1290b504
13611422
1442b48c
152e95ea
hex227914

2259220 has 48 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 846720.

The previous prime is 2259217. The next prime is 2259239. The reversal of 2259220 is 229522.

It is a junction number, because it is equal to n+sod(n) for n = 2259191 and 2259200.

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, 31785 + ... + 31855.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

22259220 is an apocalyptic number.

2259220 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 2259220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

2259220 is an abundant number, since it is smaller than the sum of its proper divisors (2796908).

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

2259220 is a wasteful number, since it uses less digits than its factorization.

2259220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2259220 is about 1503.0701913084. The cubic root of 2259220 is about 131.2158127134.

The spelling of 2259220 in words is "two million, two hundred fifty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 43 71 74 86 142 148 172 185 215 284 355 370 430 710 740 860 1420 1591 2627 3053 3182 5254 6106 6364 7955 10508 12212 13135 15265 15910 26270 30530 31820 52540 61060 112961 225922 451844 564805 1129610 2259220