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225820 = 22571613
BaseRepresentation
bin110111001000011100
3102110202201
4313020130
524211240
64501244
71630240
oct671034
9373681
10225820
11144731
12aa824
137ba2a
145c420
1546d9a
hex3721c

225820 has 24 divisors (see below), whose sum is σ = 542304. Its totient is φ = 77376.

The previous prime is 225809. The next prime is 225821. The reversal of 225820 is 28522.

225820 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (22596).

2225820 is an apocalyptic number.

225820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225820 is an abundant number, since it is smaller than the sum of its proper divisors (316484).

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

225820 is a wasteful number, since it uses less digits than its factorization.

225820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 225820 is about 475.2052188266. The cubic root of 225820 is about 60.8958178683.

It can be divided in two parts, 2258 and 20, that added together give a triangular number (2278 = T67).

The spelling of 225820 in words is "two hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1613 3226 6452 8065 11291 16130 22582 32260 45164 56455 112910 225820