200265000 has 240 divisors, whose sum is σ = 686030400. Its totient is φ = 48672000.

The previous prime is 200264993. The next prime is 200265007. The reversal of 200265000 is 562002.

It is an interprime number because it is at equal distance from previous prime (200264993) and next prime (200265007).

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

It is not an unprimeable number, because it can be changed into a prime (200265007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2534961 + ... + 2535039.

It is an arithmetic number, because the mean of its divisors is an integer number (2858460).

Almost surely, 2^200265000 is an apocalyptic number.

200265000 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 200265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343015200).

200265000 is an abundant number, since it is smaller than the sum of its proper divisors (485765400).

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

200265000 is a wasteful number, since it uses less digits than its factorization.

200265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

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

The square root of 200265000 is about 14151.5016871002. The cubic root of 200265000 is about 585.0617218827.

The spelling of 200265000 in words is "two hundred million, two hundred sixty-five thousand".