226652976 has 240 divisors, whose sum is σ = 772986240. Its totient is φ = 61102080.

The previous prime is 226652969. The next prime is 226652977. The reversal of 226652976 is 679256622.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (226652977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511411 + ... + 511853.

It is an arithmetic number, because the mean of its divisors is an integer number (3220776).

Almost surely, 2^226652976 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 226652976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386493120).

226652976 is an abundant number, since it is smaller than the sum of its proper divisors (546333264).

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

226652976 is a wasteful number, since it uses less digits than its factorization.

226652976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 226652976 is about 15054.9983726336. The cubic root of 226652976 is about 609.7060090094.

The spelling of 226652976 in words is "two hundred twenty-six million, six hundred fifty-two thousand, nine hundred seventy-six".