225773940 has 192 divisors, whose sum is σ = 774918144. Its totient is φ = 47941632.

The previous prime is 225773939. The next prime is 225773969. The reversal of 225773940 is 49377522.

225773940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735267 + ... + 735573.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^225773940 is an apocalyptic number.

225773940 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 225773940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387459072).

225773940 is an abundant number, since it is smaller than the sum of its proper divisors (549144204).

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

225773940 is a wasteful number, since it uses less digits than its factorization.

225773940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 225773940 is about 15025.7758535125. The cubic root of 225773940 is about 608.9167732557.

The spelling of 225773940 in words is "two hundred twenty-five million, seven hundred seventy-three thousand, nine hundred forty".