90200250 has 256 divisors, whose sum is σ = 301916160. Its totient is φ = 19483200.

The previous prime is 90200233. The next prime is 90200261. The reversal of 90200250 is 5200209.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1086709 + ... + 1086791.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^90200250 is an apocalyptic number.

90200250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90200250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

90200250 is an abundant number, since it is smaller than the sum of its proper divisors (211715910).

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

90200250 is a wasteful number, since it uses less digits than its factorization.

90200250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90200250 is about 9497.3812179990. The cubic root of 90200250 is about 448.4725993036.

Adding to 90200250 its reverse (5200209), we get a palindrome (95400459).

The spelling of 90200250 in words is "ninety million, two hundred thousand, two hundred fifty".