225654174000 has 240 divisors, whose sum is σ = 817326750240. Its totient is φ = 60174316800.

The previous prime is 225654173999. The next prime is 225654174007. The reversal of 225654174000 is 471456522.

It is a happy number.

225654174000 is a `hidden beast` number, since 22 + 56 + 541 + 7 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225654174007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253846 + ... + 718154.

It is an arithmetic number, because the mean of its divisors is an integer number (3405528126).

Almost surely, 2^225654174000 is an apocalyptic number.

225654174000 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 225654174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408663375120).

225654174000 is an abundant number, since it is smaller than the sum of its proper divisors (591672576240).

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

225654174000 is an equidigital number, since it uses as much as digits as its factorization.

225654174000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464347 (or 464319 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 225654174000 in words is "two hundred twenty-five billion, six hundred fifty-four million, one hundred seventy-four thousand".