225024414520300 has 144 divisors (see below), whose sum is σ = 534049706131200. Its totient is φ = 81929373696000.

The previous prime is 225024414520231. The next prime is 225024414520427. The reversal of 225024414520300 is 3025414420522.

It is a super-2 number, since 2×225024414520300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80254020 + ... + 83010580.

It is an arithmetic number, because the mean of its divisors is an integer number (3708678514800).

Almost surely, 2^{225024414520300} is an apocalyptic number.

225024414520300 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 225024414520300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267024853065600).

225024414520300 is an abundant number, since it is smaller than the sum of its proper divisors (309025291610900).

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

225024414520300 is a wasteful number, since it uses less digits than its factorization.

225024414520300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758172 (or 2758165 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 225024414520300 its reverse (3025414420522), we get a palindrome (228049828940822).

The spelling of 225024414520300 in words is "two hundred twenty-five trillion, twenty-four billion, four hundred fourteen million, five hundred twenty thousand, three hundred".