206068224 has 160 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 62042112.

The previous prime is 206068211. The next prime is 206068231. The reversal of 206068224 is 422860602.

It is a super-2 number, since 2×206068224² = 84928225885028352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 206068191 and 206068200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671079 + ... + 671385.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^206068224 is an apocalyptic number.

206068224 is a gapful number since it is divisible by the number (24) 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 206068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

206068224 is an abundant number, since it is smaller than the sum of its proper divisors (398893056).

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

206068224 is a wasteful number, since it uses less digits than its factorization.

206068224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 206068224 is about 14355.0765933171. The cubic root of 206068224 is about 590.6592496921.

The spelling of 206068224 in words is "two hundred six million, sixty-eight thousand, two hundred twenty-four".