22313001022200 has 1728 divisors, whose sum is σ = 90793814716800. Its totient is φ = 4893493248000.

The previous prime is 22313001022199. The next prime is 22313001022223. The reversal of 22313001022200 is 222010031322.

It is a super-3 number, since 3×22313001022200³ (a number of 41 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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 57359899606 + ... + 57359899994.

It is an arithmetic number, because the mean of its divisors is an integer number (52542716850).

Almost surely, 2^{22313001022200} is an apocalyptic number.

22313001022200 is a gapful number since it is divisible by the number (20) 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 22313001022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396907358400).

22313001022200 is an abundant number, since it is smaller than the sum of its proper divisors (68480813694600).

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

22313001022200 is a wasteful number, since it uses less digits than its factorization.

22313001022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

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

Adding to 22313001022200 its reverse (222010031322), we get a palindrome (22535011053522).

The spelling of 22313001022200 in words is "twenty-two trillion, three hundred thirteen billion, one million, twenty-two thousand, two hundred".