206822112 has 96 divisors (see below), whose sum is σ = 632282112. Its totient is φ = 57967104.

The previous prime is 206822101. The next prime is 206822117. The reversal of 206822112 is 211228602.

206822112 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206822117) 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, 32713 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^206822112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

206822112 is an abundant number, since it is smaller than the sum of its proper divisors (425460000).

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

206822112 is a wasteful number, since it uses less digits than its factorization.

206822112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 206822112 is about 14381.3112058671. The cubic root of 206822112 is about 591.3786700045.

The spelling of 206822112 in words is "two hundred six million, eight hundred twenty-two thousand, one hundred twelve".