225738240 has 640 divisors, whose sum is σ = 989936640. Its totient is φ = 42467328.

The previous prime is 225738239. The next prime is 225738241. The reversal of 225738240 is 42837522.

It is an interprime number because it is at equal distance from previous prime (225738239) and next prime (225738241).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11880951 + ... + 11880969.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^225738240 is an apocalyptic number.

225738240 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 225738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

225738240 is an abundant number, since it is smaller than the sum of its proper divisors (764198400).

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

225738240 is a wasteful number, since it uses less digits than its factorization.

225738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 225738240 is about 15024.5878479245. The cubic root of 225738240 is about 608.8846770290.

The spelling of 225738240 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, two hundred forty".