225433254420 has 288 divisors, whose sum is σ = 773751678336. Its totient is φ = 52645248000.

The previous prime is 225433254377. The next prime is 225433254433. The reversal of 225433254420 is 24452334522.

225433254420 is a `hidden beast` number, since 2 + 25 + 43 + 32 + 544 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7384027 + ... + 7414493.

It is an arithmetic number, because the mean of its divisors is an integer number (2686637772).

Almost surely, 2^225433254420 is an apocalyptic number.

225433254420 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 225433254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386875839168).

225433254420 is an abundant number, since it is smaller than the sum of its proper divisors (548318423916).

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

225433254420 is a wasteful number, since it uses less digits than its factorization.

225433254420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30631 (or 30626 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 225433254420 its reverse (24452334522), we get a palindrome (249885588942).

The spelling of 225433254420 in words is "two hundred twenty-five billion, four hundred thirty-three million, two hundred fifty-four thousand, four hundred twenty".