226022784 has 128 divisors (see below), whose sum is σ = 680870400. Its totient is φ = 65857536.

The previous prime is 226022779. The next prime is 226022801. The reversal of 226022784 is 487220622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×226022784² = 102172597774221312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93657 + ... + 96039.

It is an arithmetic number, because the mean of its divisors is an integer number (5319300).

Almost surely, 2^226022784 is an apocalyptic number.

226022784 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 226022784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340435200).

226022784 is an abundant number, since it is smaller than the sum of its proper divisors (454847616).

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

226022784 is a wasteful number, since it uses less digits than its factorization.

226022784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 226022784 is about 15034.0541438429. The cubic root of 226022784 is about 609.1404035089.

The spelling of 226022784 in words is "two hundred twenty-six million, twenty-two thousand, seven hundred eighty-four".