223825536 has 192 divisors, whose sum is σ = 744681600. Its totient is φ = 63774720.

The previous prime is 223825523. The next prime is 223825559. The reversal of 223825536 is 635528322.

223825536 is a `hidden beast` number, since 2 + 23 + 82 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223825536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214905 + ... + 215943.

It is an arithmetic number, because the mean of its divisors is an integer number (3878550).

Almost surely, 2^223825536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372340800).

223825536 is an abundant number, since it is smaller than the sum of its proper divisors (520856064).

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

223825536 is a wasteful number, since it uses less digits than its factorization.

223825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1072 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 223825536 is about 14960.7999786108. The cubic root of 223825536 is about 607.1600821556.

The spelling of 223825536 in words is "two hundred twenty-three million, eight hundred twenty-five thousand, five hundred thirty-six".