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225060 = 223511231
BaseRepresentation
bin110110111100100100
3102102201120
4312330210
524200220
64453540
71625103
oct667444
9372646
10225060
11144100
12aa2b0
137b594
145c03a
1546a40
hex36f24

225060 has 72 divisors (see below), whose sum is σ = 715008. Its totient is φ = 52800.

The previous prime is 225037. The next prime is 225061. The reversal of 225060 is 60522.

225060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225061) by changing a digit.

225060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7245 + ... + 7275.

2225060 is an apocalyptic number.

225060 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 225060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504).

225060 is an abundant number, since it is smaller than the sum of its proper divisors (489948).

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

225060 is a wasteful number, since it uses less digits than its factorization.

225060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 225060 is about 474.4048903627. The cubic root of 225060 is about 60.8274258770.

Adding to 225060 its reverse (60522), we get a palindrome (285582).

The spelling of 225060 in words is "two hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 1023 1210 1364 1452 1705 1815 1860 2046 2420 3410 3630 3751 4092 5115 6820 7260 7502 10230 11253 15004 18755 20460 22506 37510 45012 56265 75020 112530 225060