226292976 has 180 divisors, whose sum is σ = 793693992. Its totient is φ = 59657472.

The previous prime is 226292939. The next prime is 226292993. The reversal of 226292976 is 679292622.

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

It is a congruent number.

It is an unprimeable number.

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, 90495 + ... + 92961.

Almost surely, 2^226292976 is an apocalyptic number.

226292976 is a gapful number since it is divisible by the number (26) 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 226292976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396846996).

226292976 is an abundant number, since it is smaller than the sum of its proper divisors (567401016).

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

226292976 is a wasteful number, since it uses less digits than its factorization.

226292976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2492 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 226292976 is about 15043.0374592367. The cubic root of 226292976 is about 609.3830329197.

The spelling of 226292976 in words is "two hundred twenty-six million, two hundred ninety-two thousand, nine hundred seventy-six".