225140352 has 64 divisors (see below), whose sum is σ = 617352960. Its totient is φ = 72622080.

The previous prime is 225140339. The next prime is 225140359. The reversal of 225140352 is 253041522.

225140352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225140359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2448 + ... + 21360.

It is an arithmetic number, because the mean of its divisors is an integer number (9646140).

Almost surely, 2^225140352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308676480).

225140352 is an abundant number, since it is smaller than the sum of its proper divisors (392212608).

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

225140352 is a wasteful number, since it uses less digits than its factorization.

225140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18961 (or 18949 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225140352 is about 15004.6776706466. The cubic root of 225140352 is about 608.3466398207.

Adding to 225140352 its reverse (253041522), we get a palindrome (478181874).

The spelling of 225140352 in words is "two hundred twenty-five million, one hundred forty thousand, three hundred fifty-two".