232226400 has 288 divisors, whose sum is σ = 902942208. Its totient is φ = 50688000.

The previous prime is 232226333. The next prime is 232226411. The reversal of 232226400 is 4622232.

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 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, 386100 + ... + 386700.

It is an arithmetic number, because the mean of its divisors is an integer number (3135216).

Almost surely, 2^232226400 is an apocalyptic number.

232226400 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 232226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451471104).

232226400 is an abundant number, since it is smaller than the sum of its proper divisors (670715808).

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

232226400 is a wasteful number, since it uses less digits than its factorization.

232226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

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

The square root of 232226400 is about 15238.9763435737. The cubic root of 232226400 is about 614.6631773185.

Adding to 232226400 its reverse (4622232), we get a palindrome (236848632).

The spelling of 232226400 in words is "two hundred thirty-two million, two hundred twenty-six thousand, four hundred".