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25228800 = 29335273
BaseRepresentation
bin110000000111…
…1011000000000
31202110202102000
41200033120000
522424310200
62300424000
7424304232
oct140173000
952422360
1025228800
1113271853
128548000
1352c43ac
1434ca252
152335300
hex180f600

25228800 has 240 divisors, whose sum is σ = 93870480. Its totient is φ = 6635520.

The previous prime is 25228787. The next prime is 25228837. The reversal of 25228800 is 882252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 345564 + ... + 345636.

It is an arithmetic number, because the mean of its divisors is an integer number (391127).

Almost surely, 225228800 is an apocalyptic number.

25228800 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 25228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46935240).

25228800 is an abundant number, since it is smaller than the sum of its proper divisors (68641680).

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

25228800 is an equidigital number, since it uses as much as digits as its factorization.

25228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25228800 is about 5022.8278887495. The cubic root of 25228800 is about 293.2910866614.

The spelling of 25228800 in words is "twenty-five million, two hundred twenty-eight thousand, eight hundred".