225123150400 has 84 divisors (see below), whose sum is σ = 560168092260. Its totient is φ = 89037414400.

The previous prime is 225123150347. The next prime is 225123150419. The reversal of 225123150400 is 4051321522.

It can be written as a sum of positive squares in 6 ways, for example, as 2422214656 + 222700935744 = 49216^2 + 471912^2 .

It is a super-3 number, since 3×225123150400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648061 + ... + 932860.

It is an arithmetic number, because the mean of its divisors is an integer number (6668667765).

Almost surely, 2^225123150400 is an apocalyptic number.

225123150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225123150400 is an abundant number, since it is smaller than the sum of its proper divisors (335044941860).

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

225123150400 is a wasteful number, since it uses less digits than its factorization.

225123150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581032 (or 1581017 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 225123150400 its reverse (4051321522), we get a palindrome (229174471922).

The spelling of 225123150400 in words is "two hundred twenty-five billion, one hundred twenty-three million, one hundred fifty thousand, four hundred".