226066176 has 216 divisors, whose sum is σ = 757620864. Its totient is φ = 63498240.

The previous prime is 226066171. The next prime is 226066207. The reversal of 226066176 is 671660622.

It is a super-2 number, since 2×226066176² = 102211831862525952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226066176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226066171) 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, 1725631 + ... + 1725761.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2^226066176 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 226066176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378810432).

226066176 is an abundant number, since it is smaller than the sum of its proper divisors (531554688).

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

226066176 is a wasteful number, since it uses less digits than its factorization.

226066176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 226066176 is about 15035.4971982971. The cubic root of 226066176 is about 609.1793820706.

It can be divided in two parts, 22606 and 6176, that added together give a palindrome (28782).

The spelling of 226066176 in words is "two hundred twenty-six million, sixty-six thousand, one hundred seventy-six".