10222306200 has 288 divisors, whose sum is σ = 35032757760. Its totient is φ = 2670796800.

The previous prime is 10222306187. The next prime is 10222306207. The reversal of 10222306200 is 260322201.

10222306200 is a `hidden beast` number, since 1 + 0 + 22 + 23 + 0 + 620 + 0 = 666.

It is a super-3 number, since 3×10222306200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222306207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22173970 + ... + 22174430.

It is an arithmetic number, because the mean of its divisors is an integer number (121641520).

Almost surely, 2^10222306200 is an apocalyptic number.

10222306200 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 10222306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516378880).

10222306200 is an abundant number, since it is smaller than the sum of its proper divisors (24810451560).

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

10222306200 is a wasteful number, since it uses less digits than its factorization.

10222306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222306200 its reverse (260322201), we get a palindrome (10482628401).

The spelling of 10222306200 in words is "ten billion, two hundred twenty-two million, three hundred six thousand, two hundred".