226616544 has 216 divisors, whose sum is σ = 810416880. Its totient is φ = 58798080.

The previous prime is 226616531. The next prime is 226616549. The reversal of 226616544 is 445616622.

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 = 226616499 and 226616508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226616549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243472 + ... + 244400.

It is an arithmetic number, because the mean of its divisors is an integer number (3751930).

Almost surely, 2^226616544 is an apocalyptic number.

226616544 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 226616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

226616544 is an abundant number, since it is smaller than the sum of its proper divisors (583800336).

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

226616544 is a wasteful number, since it uses less digits than its factorization.

226616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 952 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 226616544 is about 15053.7883604095. The cubic root of 226616544 is about 609.6733393897.

The spelling of 226616544 in words is "two hundred twenty-six million, six hundred sixteen thousand, five hundred forty-four".