226229760 has 200 divisors, whose sum is σ = 811026216. Its totient is φ = 60272640.

The previous prime is 226229749. The next prime is 226229813. The reversal of 226229760 is 67922622.

226229760 is a `hidden beast` number, since 22 + 622 + 9 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206815 + ... + 207905.

Almost surely, 2^226229760 is an apocalyptic number.

226229760 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 226229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405513108).

226229760 is an abundant number, since it is smaller than the sum of its proper divisors (584796456).

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

226229760 is an equidigital number, since it uses as much as digits as its factorization.

226229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 226229760 is about 15040.9361410785. The cubic root of 226229760 is about 609.3262829693.

The spelling of 226229760 in words is "two hundred twenty-six million, two hundred twenty-nine thousand, seven hundred sixty".