225188640 has 96 divisors (see below), whose sum is σ = 788175360. Its totient is φ = 60049152.

The previous prime is 225188629. The next prime is 225188657. The reversal of 225188640 is 46881522.

225188640 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 8 + 8 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 225188595 and 225188604.

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, 21744 + ... + 30383.

It is an arithmetic number, because the mean of its divisors is an integer number (8210160).

Almost surely, 2^225188640 is an apocalyptic number.

225188640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225188640 is an abundant number, since it is smaller than the sum of its proper divisors (562986720).

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

225188640 is a wasteful number, since it uses less digits than its factorization.

225188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52151 (or 52137 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 225188640 is about 15006.2866825874. The cubic root of 225188640 is about 608.3901293482.

The spelling of 225188640 in words is "two hundred twenty-five million, one hundred eighty-eight thousand, six hundred forty".