206250000 has 180 divisors, whose sum is σ = 726562128. Its totient is φ = 50000000.

The previous prime is 206249999. The next prime is 206250019. The reversal of 206250000 is 52602.

206250000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18749995 + ... + 18750005.

Almost surely, 2^206250000 is an apocalyptic number.

206250000 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 206250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363281064).

206250000 is an abundant number, since it is smaller than the sum of its proper divisors (520312128).

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

206250000 is an frugal number, since it uses more digits than its factorization.

206250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 206250000 is about 14361.4066163451. The cubic root of 206250000 is about 590.8328752338.

It can be divided in two parts, 20 and 6250000, that multiplied together give a cube (125000000 = 500³).

The spelling of 206250000 in words is "two hundred six million, two hundred fifty thousand".