226342368 has 216 divisors, whose sum is σ = 768215448. Its totient is φ = 62995968.

The previous prime is 226342367. The next prime is 226342387. The reversal of 226342368 is 863243622.

226342368 is a `hidden beast` number, since 226 + 3 + 423 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226342367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606630 + ... + 607002.

It is an arithmetic number, because the mean of its divisors is an integer number (3556553).

Almost surely, 2^226342368 is an apocalyptic number.

226342368 is a gapful number since it is divisible by the number (28) 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 226342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384107724).

226342368 is an abundant number, since it is smaller than the sum of its proper divisors (541873080).

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

226342368 is a wasteful number, since it uses less digits than its factorization.

226342368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 226342368 is about 15044.6790593884. The cubic root of 226342368 is about 609.4273655039.

The spelling of 226342368 in words is "two hundred twenty-six million, three hundred forty-two thousand, three hundred sixty-eight".