227328000 has 240 divisors, whose sum is σ = 776971104. Its totient is φ = 58982400.

The previous prime is 227327987. The next prime is 227328001. The reversal of 227328000 is 823722.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (227328001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143982 + ... + 6144018.

Almost surely, 2^227328000 is an apocalyptic number.

227328000 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 227328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388485552).

227328000 is an abundant number, since it is smaller than the sum of its proper divisors (549643104).

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

227328000 is an frugal number, since it uses more digits than its factorization.

227328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 227328000 is about 15077.4003064189. The cubic root of 227328000 is about 610.3106900682.

The spelling of 227328000 in words is "two hundred twenty-seven million, three hundred twenty-eight thousand".