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25300116 = 22324161281
BaseRepresentation
bin110000010000…
…0110010010100
31202121101020100
41200200302110
522434100431
62302134100
7425022162
oct140406224
952541210
1025300116
1113310396
128581330
13531a9aa
143508232
15234b4e6
hex1820c94

25300116 has 72 divisors (see below), whose sum is σ = 66823848. Its totient is φ = 8064000.

The previous prime is 25300109. The next prime is 25300129. The reversal of 25300116 is 61100352.

It can be written as a sum of positive squares in 4 ways, for example, as 260100 + 25040016 = 510^2 + 5004^2 .

It is a super-2 number, since 2×253001162 = 1280191739226912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89896 + ... + 90176.

It is an arithmetic number, because the mean of its divisors is an integer number (928109).

Almost surely, 225300116 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 25300116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33411924).

25300116 is an abundant number, since it is smaller than the sum of its proper divisors (41523732).

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

25300116 is a wasteful number, since it uses less digits than its factorization.

25300116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 25300116 is about 5029.9220669907. The cubic root of 25300116 is about 293.5671820956.

Adding to 25300116 its reverse (61100352), we get a palindrome (86400468).

The spelling of 25300116 in words is "twenty-five million, three hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 82 122 123 164 183 244 246 281 366 369 492 549 562 732 738 843 1098 1124 1476 1686 2196 2501 2529 3372 5002 5058 7503 10004 10116 11521 15006 17141 22509 23042 30012 34282 34563 45018 46084 51423 68564 69126 90036 102846 103689 138252 154269 205692 207378 308538 414756 617076 702781 1405562 2108343 2811124 4216686 6325029 8433372 12650058 25300116