10222824 has 32 divisors (see below), whose sum is σ = 25701120. Its totient is φ = 3388416.

The previous prime is 10222813. The next prime is 10222843. The reversal of 10222824 is 42822201.

It is a happy number.

It is a super-3 number, since 3×10222824³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10222824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3529 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (803160).

Almost surely, 2^10222824 is an apocalyptic number.

It is an amenable number.

10222824 is an abundant number, since it is smaller than the sum of its proper divisors (15478296).

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

10222824 is a wasteful number, since it uses less digits than its factorization.

10222824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 10222824 is about 3197.3151236624. The cubic root of 10222824 is about 217.0319277422.

The spelling of 10222824 in words is "ten million, two hundred twenty-two thousand, eight hundred twenty-four".