220706000 has 80 divisors (see below), whose sum is σ = 537221568. Its totient is φ = 87696000.

The previous prime is 220705997. The next prime is 220706009. The reversal of 220706000 is 607022.

220706000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220706000² = 97422276872000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220706000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220706009) 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, 421739 + ... + 422261.

Almost surely, 2^220706000 is an apocalyptic number.

220706000 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 220706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268610784).

220706000 is an abundant number, since it is smaller than the sum of its proper divisors (316515568).

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

220706000 is a wasteful number, since it uses less digits than its factorization.

220706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 220706000 is about 14856.1771664180. The cubic root of 220706000 is about 604.3261399608.

The spelling of 220706000 in words is "two hundred twenty million, seven hundred six thousand".