2232507144 has 256 divisors, whose sum is σ = 7166361600. Its totient is φ = 564841728.

The previous prime is 2232507119. The next prime is 2232507157. The reversal of 2232507144 is 4417052322.

It is a super-3 number, since 3×2232507144³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3450229 + ... + 3450875.

It is an arithmetic number, because the mean of its divisors is an integer number (27993600).

Almost surely, 2^2232507144 is an apocalyptic number.

2232507144 is a gapful number since it is divisible by the number (24) 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 2232507144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583180800).

2232507144 is an abundant number, since it is smaller than the sum of its proper divisors (4933854456).

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

2232507144 is a wasteful number, since it uses less digits than its factorization.

2232507144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2232507144 is about 47249.4142185911. The cubic root of 2232507144 is about 1306.9659878749.

Adding to 2232507144 its reverse (4417052322), we get a palindrome (6649559466).

The spelling of 2232507144 in words is "two billion, two hundred thirty-two million, five hundred seven thousand, one hundred forty-four".