36302220 has 72 divisors (see below), whose sum is σ = 112825440. Its totient is φ = 9442560.

The previous prime is 36302207. The next prime is 36302221. The reversal of 36302220 is 2220363.

36302220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 36302193 and 36302202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36302221) 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 23 ways as a sum of consecutive naturals, for example, 4921 + ... + 9839.

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

Almost surely, 2^36302220 is an apocalyptic number.

36302220 is a gapful number since it is divisible by the number (30) 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 36302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56412720).

36302220 is an abundant number, since it is smaller than the sum of its proper divisors (76523220).

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

36302220 is a wasteful number, since it uses less digits than its factorization.

36302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36302220 is about 6025.1323636913. The cubic root of 36302220 is about 331.1141405599.

Adding to 36302220 its reverse (2220363), we get a palindrome (38522583).

The spelling of 36302220 in words is "thirty-six million, three hundred two thousand, two hundred twenty".