225669840 has 240 divisors, whose sum is σ = 811406400. Its totient is φ = 51701760.

The previous prime is 225669823. The next prime is 225669877. The reversal of 225669840 is 48966522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 225669792 and 225669801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551556 + ... + 551964.

It is an arithmetic number, because the mean of its divisors is an integer number (3380860).

Almost surely, 2^225669840 is an apocalyptic number.

225669840 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 225669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405703200).

225669840 is an abundant number, since it is smaller than the sum of its proper divisors (585736560).

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

225669840 is a wasteful number, since it uses less digits than its factorization.

225669840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 225669840 is about 15022.3114067044. The cubic root of 225669840 is about 608.8231722833.

The spelling of 225669840 in words is "two hundred twenty-five million, six hundred sixty-nine thousand, eight hundred forty".