10223200 has 72 divisors (see below), whose sum is σ = 26904528. Its totient is φ = 3770880.

The previous prime is 10223183. The next prime is 10223209. The reversal of 10223200 is 232201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9909 + ... + 10891.

It is an arithmetic number, because the mean of its divisors is an integer number (373674).

Almost surely, 2^10223200 is an apocalyptic number.

10223200 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 10223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452264).

10223200 is an abundant number, since it is smaller than the sum of its proper divisors (16681328).

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

10223200 is a wasteful number, since it uses less digits than its factorization.

10223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10223200 is about 3197.3739224557. The cubic root of 10223200 is about 217.0345885530.

Adding to 10223200 its reverse (232201), we get a palindrome (10455401).

Subtracting from 10223200 its reverse (232201), we obtain a palindrome (9990999).

It can be divided in two parts, 102 and 23200, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 10223200 in words is "ten million, two hundred twenty-three thousand, two hundred".