232022201400 has 576 divisors, whose sum is σ = 889546993920. Its totient is φ = 53648179200.

The previous prime is 232022201387. The next prime is 232022201441. The reversal of 232022201400 is 4102220232.

232022201400 is a `hidden beast` number, since 23 + 20 + 2 + 220 + 1 + 400 = 666.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 262765359 + ... + 262766241.

It is an arithmetic number, because the mean of its divisors is an integer number (1544352420).

Almost surely, 2^232022201400 is an apocalyptic number.

232022201400 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 232022201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444773496960).

232022201400 is an abundant number, since it is smaller than the sum of its proper divisors (657524792520).

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

232022201400 is a wasteful number, since it uses less digits than its factorization.

232022201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232022201400 its reverse (4102220232), we get a palindrome (236124421632).

The spelling of 232022201400 in words is "two hundred thirty-two billion, twenty-two million, two hundred one thousand, four hundred".