232002000 has 120 divisors (see below), whose sum is σ = 810368520. Its totient is φ = 61862400.

The previous prime is 232001993. The next prime is 232002007. The reversal of 232002000 is 200232.

It is an interprime number because it is at equal distance from previous prime (232001993) and next prime (232002007).

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 227889216 = 2028^2 + 15096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232002007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11556 + ... + 24444.

It is an arithmetic number, because the mean of its divisors is an integer number (6753071).

Almost surely, 2^232002000 is an apocalyptic number.

232002000 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 232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405184260).

232002000 is an abundant number, since it is smaller than the sum of its proper divisors (578366520).

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

232002000 is a wasteful number, since it uses less digits than its factorization.

232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232002000 is about 15231.6118648028. The cubic root of 232002000 is about 614.4651308314.

Adding to 232002000 its reverse (200232), we get a palindrome (232202232).

It can be divided in two parts, 23200 and 2000, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 232002000 in words is "two hundred thirty-two million, two thousand".