36220900 has 36 divisors (see below), whose sum is σ = 78940260. Its totient is φ = 14425600.

The previous prime is 36220871. The next prime is 36220903. The reversal of 36220900 is 902263.

36220900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 484416 + 35736484 = 696^2 + 5978^2 .

It is not an unprimeable number, because it can be changed into a prime (36220903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27456 + ... + 28744.

It is an arithmetic number, because the mean of its divisors is an integer number (2192785).

Almost surely, 2^36220900 is an apocalyptic number.

It is an amenable number.

36220900 is an abundant number, since it is smaller than the sum of its proper divisors (42719360).

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

36220900 is a wasteful number, since it uses less digits than its factorization.

36220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36220900 is about 6018.3801807463. The cubic root of 36220900 is about 330.8667146209.

It can be divided in two parts, 36 and 220900, that multiplied together give a square (7952400 = 2820²).

The spelling of 36220900 in words is "thirty-six million, two hundred twenty thousand, nine hundred".