226797984 has 288 divisors, whose sum is σ = 805109760. Its totient is φ = 59097600.

The previous prime is 226797973. The next prime is 226798007. The reversal of 226797984 is 489797622.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 226797984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187329 + ... + 1187519.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^226797984 is an apocalyptic number.

226797984 is a gapful number since it is divisible by the number (24) 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 226797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402554880).

226797984 is an abundant number, since it is smaller than the sum of its proper divisors (578311776).

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

226797984 is a wasteful number, since it uses less digits than its factorization.

226797984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 226797984 is about 15059.8135446625. The cubic root of 226797984 is about 609.8360071567.

The spelling of 226797984 in words is "two hundred twenty-six million, seven hundred ninety-seven thousand, nine hundred eighty-four".