225155040 has 96 divisors (see below), whose sum is σ = 773732736. Its totient is φ = 54581760.

The previous prime is 225155011. The next prime is 225155059. The reversal of 225155040 is 40551522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 225155040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16042 + ... + 26601.

It is an arithmetic number, because the mean of its divisors is an integer number (8059716).

Almost surely, 2^225155040 is an apocalyptic number.

225155040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225155040 is an abundant number, since it is smaller than the sum of its proper divisors (548577696).

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

225155040 is a wasteful number, since it uses less digits than its factorization.

225155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42672 (or 42664 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 225155040 is about 15005.1671100325. The cubic root of 225155040 is about 608.3598689036.

It can be divided in two parts, 2251 and 55040, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 225155040 in words is "two hundred twenty-five million, one hundred fifty-five thousand, forty".