226355052 has 96 divisors (see below), whose sum is σ = 687181824. Its totient is φ = 56232000.

The previous prime is 226355047. The next prime is 226355057. The reversal of 226355052 is 250553622.

It is an interprime number because it is at equal distance from previous prime (226355047) and next prime (226355057).

It is not an unprimeable number, because it can be changed into a prime (226355057) 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 31 ways as a sum of consecutive naturals, for example, 15927 + ... + 26577.

It is an arithmetic number, because the mean of its divisors is an integer number (7158144).

Almost surely, 2^226355052 is an apocalyptic number.

226355052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226355052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343590912).

226355052 is an abundant number, since it is smaller than the sum of its proper divisors (460826772).

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

226355052 is a wasteful number, since it uses less digits than its factorization.

226355052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 226355052 is about 15045.1005978691. The cubic root of 226355052 is about 609.4387491913.

The spelling of 226355052 in words is "two hundred twenty-six million, three hundred fifty-five thousand, fifty-two".