226566144 has 168 divisors, whose sum is σ = 749686080. Its totient is φ = 64585728.

The previous prime is 226566107. The next prime is 226566173. The reversal of 226566144 is 441665622.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 226566099 and 226566108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515877 + ... + 516315.

Almost surely, 2^226566144 is an apocalyptic number.

226566144 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 226566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374843040).

226566144 is an abundant number, since it is smaller than the sum of its proper divisors (523119936).

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

226566144 is an equidigital number, since it uses as much as digits as its factorization.

226566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

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

The square root of 226566144 is about 15052.1142700951. The cubic root of 226566144 is about 609.6281384907.

The spelling of 226566144 in words is "two hundred twenty-six million, five hundred sixty-six thousand, one hundred forty-four".