226559952 has 120 divisors (see below), whose sum is σ = 706829760. Its totient is φ = 67322880.

The previous prime is 226559929. The next prime is 226559987. The reversal of 226559952 is 259955622.

226559952 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 599 + 52 = 666.

226559952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226559898 and 226559907.

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 23 ways as a sum of consecutive naturals, for example, 44077 + ... + 48947.

It is an arithmetic number, because the mean of its divisors is an integer number (5890248).

Almost surely, 2^226559952 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 226559952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353414880).

226559952 is an abundant number, since it is smaller than the sum of its proper divisors (480269808).

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

226559952 is a wasteful number, since it uses less digits than its factorization.

226559952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4912 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 226559952 is about 15051.9085832993. The cubic root of 226559952 is about 609.6225847751.

The spelling of 226559952 in words is "two hundred twenty-six million, five hundred fifty-nine thousand, nine hundred fifty-two".