99220 has 36 divisors (see below), whose sum is σ = 234612. Its totient is φ = 35200.

The previous prime is 99191. The next prime is 99223. The reversal of 99220 is 2299.

99220 = 38² + 39² + ... + 70².

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 81796 = 132^2 + 286^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99191 and 99200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2400 + ... + 2440.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2⁹⁹²²⁰ 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 99220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306).

99220 is an abundant number, since it is smaller than the sum of its proper divisors (135392).

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

99220 is a wasteful number, since it uses less digits than its factorization.

99220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 99220 is about 314.9920633921. The cubic root of 99220 is about 46.2948918883.

It can be divided in two parts, 9 and 9220, that added together give a palindrome (9229).

The spelling of 99220 in words is "ninety-nine thousand, two hundred twenty".