90219700 has 72 divisors (see below), whose sum is σ = 202112064. Its totient is φ = 34944000.

The previous prime is 90219617. The next prime is 90219737. The reversal of 90219700 is 791209.

90219700 = T₂₉ + T₃₀ + ... + T₈₁₄.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688635 + ... + 688765.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2^90219700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90219700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056032).

90219700 is an abundant number, since it is smaller than the sum of its proper divisors (111892364).

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

90219700 is a wasteful number, since it uses less digits than its factorization.

90219700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 90219700 is about 9498.4051292835. The cubic root of 90219700 is about 448.5048319015.

It can be divided in two parts, 9021 and 9700, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 90219700 in words is "ninety million, two hundred nineteen thousand, seven hundred".