205554140 has 144 divisors (see below), whose sum is σ = 518029344. Its totient is φ = 67891200.

The previous prime is 205554137. The next prime is 205554163. The reversal of 205554140 is 41455502.

It is a super-2 number, since 2×205554140² = 84505008942279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3369710 + ... + 3369770.

It is an arithmetic number, because the mean of its divisors is an integer number (3597426).

Almost surely, 2^205554140 is an apocalyptic number.

205554140 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 205554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259014672).

205554140 is an abundant number, since it is smaller than the sum of its proper divisors (312475204).

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

205554140 is a wasteful number, since it uses less digits than its factorization.

205554140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 205554140 is about 14337.1594118221. The cubic root of 205554140 is about 590.1676627781.

The spelling of 205554140 in words is "two hundred five million, five hundred fifty-four thousand, one hundred forty".