10233320 has 64 divisors (see below), whose sum is σ = 24786000. Its totient is φ = 3788800.

The previous prime is 10233287. The next prime is 10233329. The reversal of 10233320 is 2333201.

It can be written as a sum of positive squares in 8 ways, for example, as 6646084 + 3587236 = 2578^2 + 1894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10233295 and 10233304.

It is not an unprimeable number, because it can be changed into a prime (10233329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68606 + ... + 68754.

Almost surely, 2^10233320 is an apocalyptic number.

10233320 is a gapful number since it is divisible by the number (10) 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 10233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393000).

10233320 is an abundant number, since it is smaller than the sum of its proper divisors (14552680).

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

10233320 is a wasteful number, since it uses less digits than its factorization.

10233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 10233320 is about 3198.9560797235. The cubic root of 10233320 is about 217.1061794996.

Adding to 10233320 its reverse (2333201), we get a palindrome (12566521).

The spelling of 10233320 in words is "ten million, two hundred thirty-three thousand, three hundred twenty".