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225360 = 24325313
BaseRepresentation
bin110111000001010000
3102110010200
4313001100
524202420
64455200
71626012
oct670120
9373120
10225360
11144353
12aa500
137b765
145c1b2
1546b90
hex37050

225360 has 60 divisors (see below), whose sum is σ = 759252. Its totient is φ = 59904.

The previous prime is 225353. The next prime is 225371. The reversal of 225360 is 63522.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 197136 = 168^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

225360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 876.

2225360 is an apocalyptic number.

225360 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 225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379626).

225360 is an abundant number, since it is smaller than the sum of its proper divisors (533892).

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

225360 is a wasteful number, since it uses less digits than its factorization.

225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225360 is about 474.7209706765. The cubic root of 225360 is about 60.8544410813.

225360 divided by its product of nonzero digits (360) gives a palindrome (626).

Adding to 225360 its reverse (63522), we get a palindrome (288882).

It can be divided in two parts, 225 and 360, that added together give a palindrome (585).

The spelling of 225360 in words is "two hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 313 360 626 720 939 1252 1565 1878 2504 2817 3130 3756 4695 5008 5634 6260 7512 9390 11268 12520 14085 15024 18780 22536 25040 28170 37560 45072 56340 75120 112680 225360