226352052 has 36 divisors (see below), whose sum is σ = 573603940. Its totient is φ = 75261312.

The previous prime is 226352017. The next prime is 226352053. The reversal of 226352052 is 250253622.

226352052 is a `hidden beast` number, since 2 + 2 + 635 + 20 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93779856 + 132572196 = 9684^2 + 11514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×226352052⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226352053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7038 + ... + 22410.

Almost surely, 2^226352052 is an apocalyptic number.

It is an amenable number.

226352052 is an abundant number, since it is smaller than the sum of its proper divisors (347251888).

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

226352052 is a wasteful number, since it uses less digits than its factorization.

226352052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792 (or 15787 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 226352052 is about 15045.0008973080. Note that the first 3 decimals coincide. The cubic root of 226352052 is about 609.4360567776.

Subtracting from 226352052 its sum of digits (27), we obtain a square (226352025 = 15045²).

The spelling of 226352052 in words is "two hundred twenty-six million, three hundred fifty-two thousand, fifty-two".