205256172 has 96 divisors (see below), whose sum is σ = 537159168. Its totient is φ = 60984000.

The previous prime is 205256143. The next prime is 205256173. The reversal of 205256172 is 271652502.

205256172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205256172² = 84260192288187168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205256173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133922 + ... + 1134102.

It is an arithmetic number, because the mean of its divisors is an integer number (5595408).

Almost surely, 2^205256172 is an apocalyptic number.

205256172 is a gapful number since it is divisible by the number (22) 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 205256172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268579584).

205256172 is an abundant number, since it is smaller than the sum of its proper divisors (331902996).

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

205256172 is a wasteful number, since it uses less digits than its factorization.

205256172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 205256172 is about 14326.7641845603. The cubic root of 205256172 is about 589.8823590021.

The spelling of 205256172 in words is "two hundred five million, two hundred fifty-six thousand, one hundred seventy-two".