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25228 = 2271753
BaseRepresentation
bin110001010001100
31021121101
412022030
51301403
6312444
7133360
oct61214
937541
1025228
1117a55
1212724
13b638
1492a0
15771d
hex628c

25228 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 9984.

The previous prime is 25219. The next prime is 25229. The reversal of 25228 is 82252.

25228 = 572 + 582 + ... + 632.

It is not an unprimeable number, because it can be changed into a prime (25229) 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, 450 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

225228 is an apocalyptic number.

25228 is a gapful number since it is divisible by the number (28) 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 25228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

25228 is an abundant number, since it is smaller than the sum of its proper divisors (29204).

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

25228 is a wasteful number, since it uses less digits than its factorization.

25228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

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

The square root of 25228 is about 158.8332458901. The cubic root of 25228 is about 29.3287986562.

It can be divided in two parts, 252 and 28, that multiplied together give a square (7056 = 842).

The spelling of 25228 in words is "twenty-five thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 742 901 1484 1802 3604 6307 12614 25228