10223752 has 48 divisors (see below), whose sum is σ = 24336720. Its totient is φ = 3981600.

The previous prime is 10223737. The next prime is 10223771. The reversal of 10223752 is 25732201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3127 + ... + 5497.

It is an arithmetic number, because the mean of its divisors is an integer number (507015).

Almost surely, 2^10223752 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 10223752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168360).

10223752 is an abundant number, since it is smaller than the sum of its proper divisors (14112968).

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

10223752 is a wasteful number, since it uses less digits than its factorization.

10223752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 10223752 is about 3197.4602421297. The cubic root of 10223752 is about 217.0384947317.

Adding to 10223752 its reverse (25732201), we get a palindrome (35955953).

It can be divided in two parts, 1022 and 3752, that added together give a palindrome (4774).

The spelling of 10223752 in words is "ten million, two hundred twenty-three thousand, seven hundred fifty-two".