225702400 has 240 divisors, whose sum is σ = 700223040. Its totient is φ = 70041600.

The previous prime is 225702383. The next prime is 225702403. The reversal of 225702400 is 4207522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (225702403) 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 23 ways as a sum of consecutive naturals, for example, 985486 + ... + 985714.

It is an arithmetic number, because the mean of its divisors is an integer number (2917596).

Almost surely, 2^225702400 is an apocalyptic number.

225702400 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 225702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350111520).

225702400 is an abundant number, since it is smaller than the sum of its proper divisors (474520640).

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

225702400 is a wasteful number, since it uses less digits than its factorization.

225702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 225702400 is about 15023.3950889937. The cubic root of 225702400 is about 608.8524515306.

Adding to 225702400 its reverse (4207522), we get a palindrome (229909922).

The spelling of 225702400 in words is "two hundred twenty-five million, seven hundred two thousand, four hundred".