225346440 has 128 divisors (see below), whose sum is σ = 761425920. Its totient is φ = 52857600.

The previous prime is 225346439. The next prime is 225346447. The reversal of 225346440 is 44643522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225346398 and 225346407.

It is not an unprimeable number, because it can be changed into a prime (225346447) 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 31 ways as a sum of consecutive naturals, for example, 38167 + ... + 43673.

It is an arithmetic number, because the mean of its divisors is an integer number (5948640).

Almost surely, 2^225346440 is an apocalyptic number.

225346440 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 225346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380712960).

225346440 is an abundant number, since it is smaller than the sum of its proper divisors (536079480).

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

225346440 is a wasteful number, since it uses less digits than its factorization.

225346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 225346440 is about 15011.5435582088. The cubic root of 225346440 is about 608.5322051154.

Adding to 225346440 its reverse (44643522), we get a palindrome (269989962).

The spelling of 225346440 in words is "two hundred twenty-five million, three hundred forty-six thousand, four hundred forty".