10224211392 has 168 divisors, whose sum is σ = 30474976896. Its totient is φ = 3398692608.

The previous prime is 10224211379. The next prime is 10224211409. The reversal of 10224211392 is 29311242201.

10224211392 is a `hidden beast` number, since 102 + 2 + 421 + 139 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7822003 + ... + 7823309.

It is an arithmetic number, because the mean of its divisors is an integer number (181398672).

Almost surely, 2^10224211392 is an apocalyptic number.

10224211392 is a gapful number since it is divisible by the number (12) 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 10224211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237488448).

10224211392 is an abundant number, since it is smaller than the sum of its proper divisors (20250765504).

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

10224211392 is an equidigital number, since it uses as much as digits as its factorization.

10224211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10224211392 its reverse (29311242201), we get a palindrome (39535453593).

The spelling of 10224211392 in words is "ten billion, two hundred twenty-four million, two hundred eleven thousand, three hundred ninety-two".