226024416 has 72 divisors (see below), whose sum is σ = 660159864. Its totient is φ = 73301760.

The previous prime is 226024411. The next prime is 226024417. The reversal of 226024416 is 614420622.

226024416 is a `hidden beast` number, since 2 + 2 + 602 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 226024416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226024411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 21261.

It is an arithmetic number, because the mean of its divisors is an integer number (9168887).

Almost surely, 2^226024416 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 226024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330079932).

226024416 is an abundant number, since it is smaller than the sum of its proper divisors (434135448).

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

226024416 is a wasteful number, since it uses less digits than its factorization.

226024416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264 (or 21253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226024416 is about 15034.1084205217. The cubic root of 226024416 is about 609.1418696070.

The spelling of 226024416 in words is "two hundred twenty-six million, twenty-four thousand, four hundred sixteen".