221076000 has 384 divisors, whose sum is σ = 849139200. Its totient is φ = 55756800.

The previous prime is 221075989. The next prime is 221076013. The reversal of 221076000 is 670122.

It is a happy number.

221076000 is digitally balanced in base 3, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483956 + ... + 2484044.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^221076000 is an apocalyptic number.

221076000 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 221076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424569600).

221076000 is an abundant number, since it is smaller than the sum of its proper divisors (628063200).

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

221076000 is a wasteful number, since it uses less digits than its factorization.

221076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 221076000 is about 14868.6246842134. The cubic root of 221076000 is about 604.6636565924.

It can be divided in two parts, 2210 and 76000, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 221076000 in words is "two hundred twenty-one million, seventy-six thousand".