220849000 has 64 divisors (see below), whose sum is σ = 519339600. Its totient is φ = 87904000.

The previous prime is 220848941. The next prime is 220849009. The reversal of 220849000 is 948022.

220849000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8797156 + 212051844 = 2966^2 + 14562^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (220849009) 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, 268590 + ... + 269410.

Almost surely, 2^220849000 is an apocalyptic number.

220849000 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 220849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259669800).

220849000 is an abundant number, since it is smaller than the sum of its proper divisors (298490600).

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

220849000 is a wasteful number, since it uses less digits than its factorization.

220849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 220849000 is about 14860.9891999153. The cubic root of 220849000 is about 604.4566302670.

The spelling of 220849000 in words is "two hundred twenty million, eight hundred forty-nine thousand".