226584540 has 480 divisors, whose sum is σ = 922078080. Its totient is φ = 45287424.

The previous prime is 226584521. The next prime is 226584541. The reversal of 226584540 is 45485622.

It is a happy number.

226584540 is a `hidden beast` number, since 2 + 26 + 584 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226584495 and 226584504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226584541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4275154 + ... + 4275206.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^226584540 is an apocalyptic number.

226584540 is a gapful number since it is divisible by the number (20) 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 226584540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

226584540 is an abundant number, since it is smaller than the sum of its proper divisors (695493540).

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

226584540 is a wasteful number, since it uses less digits than its factorization.

226584540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 226584540 is about 15052.7253346362. The cubic root of 226584540 is about 609.6446375956.

The spelling of 226584540 in words is "two hundred twenty-six million, five hundred eighty-four thousand, five hundred forty".