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2323132000 = 25537292861
BaseRepresentation
bin1000101001111000…
…0010111001100000
312222220101022222221
42022132002321200
514224210211000
61022304440424
7111366203410
oct21236027140
95886338887
102323132000
11a92390502
1254a019114
132b03b4027
14180770640
15d8e4061a
hex8a782e60

2323132000 has 192 divisors, whose sum is σ = 6750656640. Its totient is φ = 768768000.

The previous prime is 2323131973. The next prime is 2323132013. The reversal of 2323132000 is 2313232.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 810570 + ... + 813430.

It is an arithmetic number, because the mean of its divisors is an integer number (35159670).

Almost surely, 22323132000 is an apocalyptic number.

2323132000 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 2323132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375328320).

2323132000 is an abundant number, since it is smaller than the sum of its proper divisors (4427524640).

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

2323132000 is a wasteful number, since it uses less digits than its factorization.

2323132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2323132000 is about 48198.8796550293. The cubic root of 2323132000 is about 1324.4166412677.

Adding to 2323132000 its reverse (2313232), we get a palindrome (2325445232).

The spelling of 2323132000 in words is "two billion, three hundred twenty-three million, one hundred thirty-two thousand".