205022720 has 160 divisors (see below), whose sum is σ = 595729728. Its totient is φ = 66060288.

The previous prime is 205022717. The next prime is 205022723. The reversal of 205022720 is 27220502.

It is an interprime number because it is at equal distance from previous prime (205022717) and next prime (205022723).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 205022692 and 205022701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205022723) 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, 304304 + ... + 304976.

Almost surely, 2^205022720 is an apocalyptic number.

205022720 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 205022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297864864).

205022720 is an abundant number, since it is smaller than the sum of its proper divisors (390707008).

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

205022720 is an equidigital number, since it uses as much as digits as its factorization.

205022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 205022720 is about 14318.6144581101. The cubic root of 205022720 is about 589.6586361994.

The spelling of 205022720 in words is "two hundred five million, twenty-two thousand, seven hundred twenty".