220997000 has 128 divisors (see below), whose sum is σ = 597991680. Its totient is φ = 74880000.

The previous prime is 220996973. The next prime is 220997027. The reversal of 220997000 is 799022.

It is a happy number.

220997000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220996973) and next prime (220997027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916880 + ... + 917120.

It is an arithmetic number, because the mean of its divisors is an integer number (4671810).

Almost surely, 2^220997000 is an apocalyptic number.

220997000 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 220997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298995840).

220997000 is an abundant number, since it is smaller than the sum of its proper divisors (376994680).

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

220997000 is a wasteful number, since it uses less digits than its factorization.

220997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 220997000 is about 14865.9678460570. The cubic root of 220997000 is about 604.5916238678.

The spelling of 220997000 in words is "two hundred twenty million, nine hundred ninety-seven thousand".