22144147200 has 432 divisors, whose sum is σ = 92805448960. Its totient is φ = 5061242880.

The previous prime is 22144147159. The next prime is 22144147217. The reversal of 22144147200 is 274144122.

22144147200 is a `hidden beast` number, since 221 + 4 + 414 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200447 + ... + 1218753.

Almost surely, 2^22144147200 is an apocalyptic number.

22144147200 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 22144147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46402724480).

22144147200 is an abundant number, since it is smaller than the sum of its proper divisors (70661301760).

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

22144147200 is a wasteful number, since it uses less digits than its factorization.

22144147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

It can be divided in two parts, 2214 and 4147200, that added together give a palindrome (4149414).

The spelling of 22144147200 in words is "twenty-two billion, one hundred forty-four million, one hundred forty-seven thousand, two hundred".