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23210201232 = 2432233725119
BaseRepresentation
bin10101100111011011…
…111001000010010000
32012220120002101110200
4111213123321002100
5340013302414412
614355043055200
71451112312111
oct254733710220
965816071420
1023210201232
11993060a799
1245b9071500
13225b7a87aa
1411a27a8208
1590c9d19dc
hex5676f9090

23210201232 has 180 divisors, whose sum is σ = 69675540480. Its totient is φ = 7198937856.

The previous prime is 23210201213. The next prime is 23210201233.

23210201232 is a `hidden beast` number, since 23 + 210 + 201 + 232 = 666.

23210201232 is nontrivially palindromic in base 10.

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 (23210201233) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4531569 + ... + 4536687.

It is an arithmetic number, because the mean of its divisors is an integer number (387086336).

Almost surely, 223210201232 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 23210201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34837770240).

23210201232 is an abundant number, since it is smaller than the sum of its proper divisors (46465339248).

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

23210201232 is a wasteful number, since it uses less digits than its factorization.

23210201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5184 counting only the distinct ones).

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

The spelling of 23210201232 in words is "twenty-three billion, two hundred ten million, two hundred one thousand, two hundred thirty-two".