225131746000 has 320 divisors, whose sum is σ = 638964817920. Its totient is φ = 75113740800.

The previous prime is 225131745989. The next prime is 225131746039. The reversal of 225131746000 is 647131522.

225131746000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220933491 + ... + 220934509.

It is an arithmetic number, because the mean of its divisors is an integer number (1996765056).

Almost surely, 2^225131746000 is an apocalyptic number.

225131746000 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 225131746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319482408960).

225131746000 is an abundant number, since it is smaller than the sum of its proper divisors (413833071920).

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

225131746000 is a wasteful number, since it uses less digits than its factorization.

225131746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 225131746000 its reverse (647131522), we get a palindrome (225778877522).

The spelling of 225131746000 in words is "two hundred twenty-five billion, one hundred thirty-one million, seven hundred forty-six thousand".