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25217280 = 2832511199
BaseRepresentation
bin110000000110…
…0100100000000
31202110011121100
41200030210000
522423423110
62300254400
7424225524
oct140144400
952404540
1025217280
1113264130
128541400
1352bc08a
1434c5d84
152331bc0
hex180c900

25217280 has 216 divisors, whose sum is σ = 95659200. Its totient is φ = 6082560.

The previous prime is 25217279. The next prime is 25217299. The reversal of 25217280 is 8271252.

It is a super-2 number, since 2×252172802 = 1271822421196800, which contains 22 as substring.

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, 126621 + ... + 126819.

Almost surely, 225217280 is an apocalyptic number.

25217280 is a gapful number since it is divisible by the number (20) 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 25217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829600).

25217280 is an abundant number, since it is smaller than the sum of its proper divisors (70441920).

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

25217280 is a wasteful number, since it uses less digits than its factorization.

25217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 25217280 is about 5021.6809934523. The cubic root of 25217280 is about 293.2464389082.

It can be divided in two parts, 252172 and 80, that added together give a palindrome (252252).

The spelling of 25217280 in words is "twenty-five million, two hundred seventeen thousand, two hundred eighty".