226589664 has 192 divisors, whose sum is σ = 716083200. Its totient is φ = 61378560.

The previous prime is 226589659. The next prime is 226589669. The reversal of 226589664 is 466985622.

It is a happy number.

226589664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226589659) and next prime (226589669).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226589669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520662 + ... + 1520810.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2^226589664 is an apocalyptic number.

226589664 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 226589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358041600).

226589664 is an abundant number, since it is smaller than the sum of its proper divisors (489493536).

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

226589664 is a wasteful number, since it uses less digits than its factorization.

226589664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 226589664 is about 15052.8955354111. The cubic root of 226589664 is about 609.6492330777.

The spelling of 226589664 in words is "two hundred twenty-six million, five hundred eighty-nine thousand, six hundred sixty-four".