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232324000000 = 28562412
BaseRepresentation
bin1101100001011110010…
…1101110100100000000
3211012200001121000112121
43120113211232210000
512301244421000000
6254421141334024
722533130263031
oct3302745564400
9735601530477
10232324000000
118a589928894
1239038a07314
1318ba60103b1
14b35d044a88
15609b110b1a
hex361796e900

232324000000 has 189 divisors, whose sum is σ = 582083428143. Its totient is φ = 92544000000.

The previous prime is 232323999997. The next prime is 232324000021. The reversal of 232324000000 is 423232.

The square root of 232324000000 is 482000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 226317129984 + 6006870016 = 475728^2 + 77504^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 963999880 + ... + 964000120.

Almost surely, 2232324000000 is an apocalyptic number.

232324000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232324000000 is the 482000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232324000000

232324000000 is an abundant number, since it is smaller than the sum of its proper divisors (349759428143).

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

232324000000 is an frugal number, since it uses more digits than its factorization.

232324000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Multiplying 232324000000 by its sum of digits (16), we get a square (3717184000000 = 19280002).

232324000000 divided by its sum of digits (16) gives a square (14520250000 = 1205002).

Adding to 232324000000 its reverse (423232), we get a palindrome (232324423232).

The spelling of 232324000000 in words is "two hundred thirty-two billion, three hundred twenty-four million", and thus it is an aban number.