225273776 has 180 divisors, whose sum is σ = 589556016. Its totient is φ = 82494720.

The previous prime is 225273767. The next prime is 225273779. The reversal of 225273776 is 677372522.

Its product of digits (246960) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225273779) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7266881 + ... + 7266911.

Almost surely, 2^225273776 is an apocalyptic number.

225273776 is a gapful number since it is divisible by the number (26) 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 225273776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294778008).

225273776 is an abundant number, since it is smaller than the sum of its proper divisors (364282240).

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

225273776 is a wasteful number, since it uses less digits than its factorization.

225273776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 76 counting only the distinct ones).

The product of its digits is 246960, while the sum is 41.

The square root of 225273776 is about 15009.1230923062. The cubic root of 225273776 is about 608.4667900774.

The spelling of 225273776 in words is "two hundred twenty-five million, two hundred seventy-three thousand, seven hundred seventy-six".