16232227200 has 384 divisors, whose sum is σ = 67894464000. Its totient is φ = 3710085120.

The previous prime is 16232227183. The next prime is 16232227211. The reversal of 16232227200 is 272223261.

16232227200 is a `hidden beast` number, since 1 + 6 + 232 + 227 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591381 + ... + 618219.

It is an arithmetic number, because the mean of its divisors is an integer number (176808500).

Almost surely, 2^16232227200 is an apocalyptic number.

16232227200 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 16232227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33947232000).

16232227200 is an abundant number, since it is smaller than the sum of its proper divisors (51662236800).

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

16232227200 is a wasteful number, since it uses less digits than its factorization.

16232227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26879 (or 26856 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 16232227200 in words is "sixteen billion, two hundred thirty-two million, two hundred twenty-seven thousand, two hundred".