226352000 has 256 divisors, whose sum is σ = 672122880. Its totient is φ = 74188800.

The previous prime is 226351981. The next prime is 226352017. The reversal of 226352000 is 253622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815977 + ... + 4816023.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^226352000 is an apocalyptic number.

226352000 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 226352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336061440).

226352000 is an abundant number, since it is smaller than the sum of its proper divisors (445770880).

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

226352000 is an equidigital number, since it uses as much as digits as its factorization.

226352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 226352000 is about 15044.9991691592. Note that the first 3 decimals coincide. The cubic root of 226352000 is about 609.4360101089.

The spelling of 226352000 in words is "two hundred twenty-six million, three hundred fifty-two thousand".