226261152 has 144 divisors (see below), whose sum is σ = 698600448. Its totient is φ = 69050880.

The previous prime is 226261121. The next prime is 226261159. The reversal of 226261152 is 251162622.

226261152 is a `hidden beast` number, since 22 + 626 + 1 + 15 + 2 = 666.

226261152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (226261159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834777 + ... + 835047.

It is an arithmetic number, because the mean of its divisors is an integer number (4851392).

Almost surely, 2^226261152 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 226261152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349300224).

226261152 is an abundant number, since it is smaller than the sum of its proper divisors (472339296).

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

226261152 is a wasteful number, since it uses less digits than its factorization.

226261152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 226261152 is about 15041.9796569468. The cubic root of 226261152 is about 609.3544653593.

The spelling of 226261152 in words is "two hundred twenty-six million, two hundred sixty-one thousand, one hundred fifty-two".