36100224 has 48 divisors (see below), whose sum is σ = 103885470. Its totient is φ = 12033024.

The previous prime is 36100217. The next prime is 36100243. The reversal of 36100224 is 42200163.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 14197824 = 4680^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 36100197 and 36100206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14517 + ... + 16820.

Almost surely, 2^36100224 is an apocalyptic number.

It is an amenable number.

36100224 is an abundant number, since it is smaller than the sum of its proper divisors (67785246).

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

36100224 is a wasteful number, since it uses less digits than its factorization.

36100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31357 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36100224 is about 6008.3461950856. The cubic root of 36100224 is about 330.4988598205.

Adding to 36100224 its reverse (42200163), we get a palindrome (78300387).

The spelling of 36100224 in words is "thirty-six million, one hundred thousand, two hundred twenty-four".