225775840 has 24 divisors (see below), whose sum is σ = 533395800. Its totient is φ = 90310272.

The previous prime is 225775801. The next prime is 225775877. The reversal of 225775840 is 48577522.

It is a happy number.

It is a super-3 number, since 3×225775840³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 225775793 and 225775802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705390 + ... + 705709.

It is an arithmetic number, because the mean of its divisors is an integer number (22224825).

Almost surely, 2^225775840 is an apocalyptic number.

225775840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225775840 is an abundant number, since it is smaller than the sum of its proper divisors (307619960).

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

225775840 is a wasteful number, since it uses less digits than its factorization.

225775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411114 (or 1411106 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 225775840 is about 15025.8390780682. The cubic root of 225775840 is about 608.9184813634.

The spelling of 225775840 in words is "two hundred twenty-five million, seven hundred seventy-five thousand, eight hundred forty".