22328071200 has 270 divisors, whose sum is σ = 81565086141. Its totient is φ = 5944008960.

The previous prime is 22328071193. The next prime is 22328071231. The reversal of 22328071200 is 217082322.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21881509776 + 446561424 = 147924^2 + 21132^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105660.

It is a super-3 number, since 3×22328071200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38037307 + ... + 38037893.

Almost surely, 2^22328071200 is an apocalyptic number.

22328071200 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 22328071200

22328071200 is an abundant number, since it is smaller than the sum of its proper divisors (59237014941).

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

22328071200 is an frugal number, since it uses more digits than its factorization.

22328071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 22328071200 in words is "twenty-two billion, three hundred twenty-eight million, seventy-one thousand, two hundred".