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25216 = 27197
BaseRepresentation
bin110001010000000
31021120221
412022000
51301331
6312424
7133342
oct61200
937527
1025216
1117a44
1212714
13b629
149292
157711
hex6280

25216 has 16 divisors (see below), whose sum is σ = 50490. Its totient is φ = 12544.

The previous prime is 25189. The next prime is 25219. The reversal of 25216 is 61252.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 10816 = 120^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

25216 is an undulating number in base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 25216.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30 + ... + 226.

225216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25245).

25216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

25216 is an equidigital number, since it uses as much as digits as its factorization.

25216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 25216 is about 158.7954659302. The cubic root of 25216 is about 29.3241477207.

Subtracting from 25216 its sum of digits (16), we obtain a triangular number (25200 = T224).

Adding to 25216 its reverse (61252), we get a palindrome (86468).

The spelling of 25216 in words is "twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 197 394 788 1576 3152 6304 12608 25216