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232203002112 = 28326111314621
BaseRepresentation
bin1101100001000001100…
…0001010000100000000
3211012100121220200122100
43120100120022010000
512301022432031422
6254401140110400
722530130644354
oct3302030120400
9735317820570
10232203002112
118a5275a5334
1239004395400
1318b86c27203
14b34ad49464
1560906ae7ac
hex361060a100

232203002112 has 216 divisors, whose sum is σ = 686542730328. Its totient is φ = 75453235200.

The previous prime is 232203002111. The next prime is 232203002153. The reversal of 232203002112 is 211200302232.

232203002112 is a `hidden beast` number, since 232 + 20 + 300 + 2 + 112 = 666.

232203002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78902562816 + 153300439296 = 280896^2 + 391536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232203002111) 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, 15874162 + ... + 15888782.

Almost surely, 2232203002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232203002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343271365164).

232203002112 is an abundant number, since it is smaller than the sum of its proper divisors (454339728216).

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

232203002112 is a wasteful number, since it uses less digits than its factorization.

232203002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14817 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232203002112 its reverse (211200302232), we get a palindrome (443403304344).

The spelling of 232203002112 in words is "two hundred thirty-two billion, two hundred three million, two thousand, one hundred twelve".