10234312224 has 192 divisors, whose sum is σ = 28426567680. Its totient is φ = 3219840000.

The previous prime is 10234312213. The next prime is 10234312259. The reversal of 10234312224 is 42221343201.

It is a happy number.

It is a super-2 number, since 2×10234312224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10234312194 and 10234312203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23745289 + ... + 23745719.

It is an arithmetic number, because the mean of its divisors is an integer number (148055040).

Almost surely, 2^10234312224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213283840).

10234312224 is an abundant number, since it is smaller than the sum of its proper divisors (18192255456).

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

10234312224 is a wasteful number, since it uses less digits than its factorization.

10234312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10234312224 its reverse (42221343201), we get a palindrome (52455655425).

The spelling of 10234312224 in words is "ten billion, two hundred thirty-four million, three hundred twelve thousand, two hundred twenty-four".