225434352000 has 512 divisors, whose sum is σ = 877991063040. Its totient is φ = 50445312000.

The previous prime is 225434351993. The next prime is 225434352037. The reversal of 225434352000 is 253434522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6847579 + ... + 6880421.

It is an arithmetic number, because the mean of its divisors is an integer number (1714826295).

Almost surely, 2^225434352000 is an apocalyptic number.

225434352000 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 225434352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438995531520).

225434352000 is an abundant number, since it is smaller than the sum of its proper divisors (652556711040).

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

225434352000 is a wasteful number, since it uses less digits than its factorization.

225434352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32899 (or 32877 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 225434352000 its reverse (253434522), we get a palindrome (225687786522).

The spelling of 225434352000 in words is "two hundred twenty-five billion, four hundred thirty-four million, three hundred fifty-two thousand".