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25212 = 22311191
BaseRepresentation
bin110001001111100
31021120210
412021330
51301322
6312420
7133335
oct61174
937523
1025212
1117a40
1212710
13b625
14928c
15770c
hex627c

25212 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 7600.

The previous prime is 25189. The next prime is 25219. The reversal of 25212 is 21252.

25212 is digitally balanced in base 4, 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 (12).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25219) by changing a digit.

25212 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

225212 is an apocalyptic number.

25212 is a gapful number since it is divisible by the number (22) 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 25212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

25212 is an abundant number, since it is smaller than the sum of its proper divisors (39300).

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

25212 is a wasteful number, since it uses less digits than its factorization.

25212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 25212 is about 158.7828706127. The cubic root of 25212 is about 29.3225970810.

Subtracting from 25212 its sum of digits (12), we obtain a triangular number (25200 = T224).

Adding to 25212 its product of digits (40), we get a palindrome (25252).

Adding to 25212 its reverse (21252), we get a palindrome (46464).

The spelling of 25212 in words is "twenty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 4202 6303 8404 12606 25212