232014430200 has 384 divisors, whose sum is σ = 866273126400. Its totient is φ = 50181742080.

The previous prime is 232014430177. The next prime is 232014430211. The reversal of 232014430200 is 2034410232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129833707 + ... + 129835493.

It is an arithmetic number, because the mean of its divisors is an integer number (2255919600).

Almost surely, 2^232014430200 is an apocalyptic number.

232014430200 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 232014430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433136563200).

232014430200 is an abundant number, since it is smaller than the sum of its proper divisors (634258696200).

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

232014430200 is a wasteful number, since it uses less digits than its factorization.

232014430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232014430200 its reverse (2034410232), we get a palindrome (234048840432).

The spelling of 232014430200 in words is "two hundred thirty-two billion, fourteen million, four hundred thirty thousand, two hundred".