2232152400 has 60 divisors (see below), whose sum is σ = 7150332032. Its totient is φ = 595240320.

The previous prime is 2232152389. The next prime is 2232152423. The reversal of 2232152400 is 42512322.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×2232152400³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928864 + ... + 931263.

Almost surely, 2^2232152400 is an apocalyptic number.

2232152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232152400 is an abundant number, since it is smaller than the sum of its proper divisors (4918179632).

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

2232152400 is a wasteful number, since it uses less digits than its factorization.

2232152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860148 (or 1860137 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2232152400 is about 47245.6601181527. The cubic root of 2232152400 is about 1306.8967588465.

Adding to 2232152400 its reverse (42512322), we get a palindrome (2274664722).

The spelling of 2232152400 in words is "two billion, two hundred thirty-two million, one hundred fifty-two thousand, four hundred".