90220500 has 192 divisors, whose sum is σ = 300867840. Its totient is φ = 23328000.

The previous prime is 90220463. The next prime is 90220523. The reversal of 90220500 is 502209.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553419 + ... + 553581.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 2^90220500 is an apocalyptic number.

90220500 is a gapful number since it is divisible by the number (90) 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 90220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433920).

90220500 is an abundant number, since it is smaller than the sum of its proper divisors (210647340).

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

90220500 is a wasteful number, since it uses less digits than its factorization.

90220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

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

The square root of 90220500 is about 9498.4472415232. The cubic root of 90220500 is about 448.5061575647.

Adding to 90220500 its reverse (502209), we get a palindrome (90722709).

The spelling of 90220500 in words is "ninety million, two hundred twenty thousand, five hundred".