10072282233 has 64 divisors (see below), whose sum is σ = 15389015040. Its totient is φ = 5815799808.

The previous prime is 10072282193. The next prime is 10072282249. The reversal of 10072282233 is 33228227001.

10072282233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072282233 - 2⁶ = 10072282169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10072282233.

It is not an unprimeable number, because it can be changed into a prime (10072282273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6772816 + ... + 6774302.

It is an arithmetic number, because the mean of its divisors is an integer number (240453360).

Almost surely, 2^10072282233 is an apocalyptic number.

10072282233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10072282233 is a deficient number, since it is larger than the sum of its proper divisors (5316732807).

10072282233 is a wasteful number, since it uses less digits than its factorization.

10072282233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10072282233 in words is "ten billion, seventy-two million, two hundred eighty-two thousand, two hundred thirty-three".