10222033200 has 120 divisors (see below), whose sum is σ = 33299803200. Its totient is φ = 2679655680.

The previous prime is 10222033177. The next prime is 10222033201. The reversal of 10222033200 is 233022201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222033200.

It is not an unprimeable number, because it can be changed into a prime (10222033201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390 + ... + 142989.

It is an arithmetic number, because the mean of its divisors is an integer number (277498360).

Almost surely, 2^10222033200 is an apocalyptic number.

10222033200 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 10222033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649901600).

10222033200 is an abundant number, since it is smaller than the sum of its proper divisors (23077770000).

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

10222033200 is a wasteful number, since it uses less digits than its factorization.

10222033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144459 (or 144448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10222033200 its reverse (233022201), we get a palindrome (10455055401).

The spelling of 10222033200 in words is "ten billion, two hundred twenty-two million, thirty-three thousand, two hundred".