221364000 has 576 divisors, whose sum is σ = 944431488. Its totient is φ = 48384000.

The previous prime is 221363971. The next prime is 221364001. The reversal of 221364000 is 463122.

It is a happy number.

221364000 is a `hidden beast` number, since 2 + 21 + 3 + 640 + 0 + 0 = 666.

221364000 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 a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221364001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5147979 + ... + 5148021.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638).

Almost surely, 2^221364000 is an apocalyptic number.

221364000 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 221364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472215744).

221364000 is an abundant number, since it is smaller than the sum of its proper divisors (723067488).

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

221364000 is a wasteful number, since it uses less digits than its factorization.

221364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221364000 is about 14878.3063552274. The cubic root of 221364000 is about 604.9261116877.

The spelling of 221364000 in words is "two hundred twenty-one million, three hundred sixty-four thousand".