221022000 has 160 divisors (see below), whose sum is σ = 791943360. Its totient is φ = 58924800.

The previous prime is 221021993. The next prime is 221022007. The reversal of 221022000 is 220122.

It is an interprime number because it is at equal distance from previous prime (221021993) and next prime (221022007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (221022007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51954 + ... + 56046.

It is an arithmetic number, because the mean of its divisors is an integer number (4949646).

Almost surely, 2^221022000 is an apocalyptic number.

221022000 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 221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395971680).

221022000 is an abundant number, since it is smaller than the sum of its proper divisors (570921360).

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

221022000 is a wasteful number, since it uses less digits than its factorization.

221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 221022000 is about 14866.8086689780. The cubic root of 221022000 is about 604.6144208902.

Adding to 221022000 its reverse (220122), we get a palindrome (221242122).

The spelling of 221022000 in words is "two hundred twenty-one million, twenty-two thousand".