14232253200 has 240 divisors, whose sum is σ = 49836691200. Its totient is φ = 3443212800.

The previous prime is 14232253181. The next prime is 14232253249. The reversal of 14232253200 is 235223241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14232253200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9754071 + ... + 9755529.

It is an arithmetic number, because the mean of its divisors is an integer number (207652880).

Almost surely, 2^14232253200 is an apocalyptic number.

14232253200 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 14232253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918345600).

14232253200 is an abundant number, since it is smaller than the sum of its proper divisors (35604438000).

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

14232253200 is a wasteful number, since it uses less digits than its factorization.

14232253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 14232253200 its reverse (235223241), we get a palindrome (14467476441).

The spelling of 14232253200 in words is "fourteen billion, two hundred thirty-two million, two hundred fifty-three thousand, two hundred".