225699840 has 288 divisors, whose sum is σ = 817689600. Its totient is φ = 57507840.

The previous prime is 225699833. The next prime is 225699893. The reversal of 225699840 is 48996522.

225699840 is a `hidden beast` number, since 2 + 2 + 569 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856921 + ... + 2856999.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^225699840 is an apocalyptic number.

225699840 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 225699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408844800).

225699840 is an abundant number, since it is smaller than the sum of its proper divisors (591989760).

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

225699840 is a wasteful number, since it uses less digits than its factorization.

225699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 225699840 is about 15023.3098883036. The cubic root of 225699840 is about 608.8501495788.

It can be divided in two parts, 225 and 699840, that multiplied together give a cube (157464000 = 540³).

The spelling of 225699840 in words is "two hundred twenty-five million, six hundred ninety-nine thousand, eight hundred forty".