35224020 has 72 divisors (see below), whose sum is σ = 115072776. Its totient is φ = 8669952.

The previous prime is 35224019. The next prime is 35224031. The reversal of 35224020 is 2042253.

35224020 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 4 ways, for example, as 5673924 + 29550096 = 2382^2 + 5436^2 .

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 = 35223984 and 35224002.

It is a congruent number.

It is an unprimeable number.

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, 5187 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (1598233).

Almost surely, 2^35224020 is an apocalyptic number.

35224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35224020 is an abundant number, since it is smaller than the sum of its proper divisors (79848756).

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

35224020 is a wasteful number, since it uses less digits than its factorization.

35224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15081 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 35224020 is about 5934.9827295452. The cubic root of 35224020 is about 327.8030371120.

Adding to 35224020 its reverse (2042253), we get a palindrome (37266273).

The spelling of 35224020 in words is "thirty-five million, two hundred twenty-four thousand, twenty".