225751680 has 384 divisors, whose sum is σ = 973814400. Its totient is φ = 46817280.

The previous prime is 225751663. The next prime is 225751709. The reversal of 225751680 is 86157522.

It is a happy number.

225751680 is a `hidden beast` number, since 2 + 2 + 575 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443266 + ... + 443774.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 2^225751680 is an apocalyptic number.

225751680 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 225751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486907200).

225751680 is an abundant number, since it is smaller than the sum of its proper divisors (748062720).

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

225751680 is a wasteful number, since it uses less digits than its factorization.

225751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225751680 is about 15025.0351081121. The cubic root of 225751680 is about 608.8967607115.

The spelling of 225751680 in words is "two hundred twenty-five million, seven hundred fifty-one thousand, six hundred eighty".