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162225 = 32527103
BaseRepresentation
bin100111100110110001
322020112100
4213212301
520142400
63251013
71243650
oct474661
9266470
10162225
11100978
1279a69
1358abb
1443197
1533100
hex279b1

162225 has 36 divisors (see below), whose sum is σ = 335296. Its totient is φ = 73440.

The previous prime is 162221. The next prime is 162229. The reversal of 162225 is 522261.

162225 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162221) and next prime (162229).

It is not a de Polignac number, because 162225 - 22 = 162221 is a prime.

It is a Duffinian number.

162225 is strictly pandigital in base 7.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 162198 and 162207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524 + ... + 1626.

2162225 is an apocalyptic number.

162225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162225 is an abundant number, since it is smaller than the sum of its proper divisors (173071).

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

162225 is a wasteful number, since it uses less digits than its factorization.

162225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 162225 is about 402.7716474629. The cubic root of 162225 is about 54.5388438958.

Adding to 162225 its reverse (522261), we get a palindrome (684486).

It can be divided in two parts, 1 and 62225, that added together give a palindrome (62226).

The spelling of 162225 in words is "one hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 103 105 175 225 309 315 515 525 721 927 1545 1575 2163 2575 3605 4635 6489 7725 10815 18025 23175 32445 54075 162225