232233025211400 has 384 divisors, whose sum is σ = 759680534476800. Its totient is φ = 58524894489600.

The previous prime is 232233025211357. The next prime is 232233025211401. The reversal of 232233025211400 is 4112520332232.

232233025211400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (232233025211401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30935526447 + ... + 30935533953.

It is an arithmetic number, because the mean of its divisors is an integer number (1978334725200).

Almost surely, 2^{232233025211400} is an apocalyptic number.

232233025211400 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 232233025211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379840267238400).

232233025211400 is an abundant number, since it is smaller than the sum of its proper divisors (527447509265400).

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

232233025211400 is a wasteful number, since it uses less digits than its factorization.

232233025211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13869 (or 13860 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 232233025211400 its reverse (4112520332232), we get a palindrome (236345545543632).

The spelling of 232233025211400 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, twenty-five million, two hundred eleven thousand, four hundred".