225783936 has 384 divisors, whose sum is σ = 828696960. Its totient is φ = 59719680.

The previous prime is 225783923. The next prime is 225783941. The reversal of 225783936 is 639387522.

225783936 is a `hidden beast` number, since 2 + 257 + 8 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (544320) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 225783891 and 225783900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3701346 + ... + 3701406.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^225783936 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 225783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

225783936 is an abundant number, since it is smaller than the sum of its proper divisors (602913024).

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

225783936 is an equidigital number, since it uses as much as digits as its factorization.

225783936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 225783936 is about 15026.1084782455. The cubic root of 225783936 is about 608.9257595928.

The spelling of 225783936 in words is "two hundred twenty-five million, seven hundred eighty-three thousand, nine hundred thirty-six".