220950000 has 180 divisors, whose sum is σ = 774466056. Its totient is φ = 58800000.

The previous prime is 220949957. The next prime is 220950007. The reversal of 220950000 is 59022.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220950007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449755 + ... + 450245.

Almost surely, 2^220950000 is an apocalyptic number.

220950000 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 220950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387233028).

220950000 is an abundant number, since it is smaller than the sum of its proper divisors (553516056).

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

220950000 is an equidigital number, since it uses as much as digits as its factorization.

220950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 220950000 is about 14864.3869702050. The cubic root of 220950000 is about 604.5487608109.

The spelling of 220950000 in words is "two hundred twenty million, nine hundred fifty thousand".