225041350543100 has 144 divisors (see below), whose sum is σ = 601521792807936. Its totient is φ = 71164017504000.

The previous prime is 225041350543069. The next prime is 225041350543151. The reversal of 225041350543100 is 1345053140522.

It is a super-2 number, since 2×225041350543100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157495 + ... + 21246705.

Almost surely, 2^{225041350543100} is an apocalyptic number.

225041350543100 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 225041350543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300760896403968).

225041350543100 is an abundant number, since it is smaller than the sum of its proper divisors (376480442264836).

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

225041350543100 is a wasteful number, since it uses less digits than its factorization.

225041350543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090476 (or 20090469 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 225041350543100 in words is "two hundred twenty-five trillion, forty-one billion, three hundred fifty million, five hundred forty-three thousand, one hundred".