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23114004032 = 2672171921201
BaseRepresentation
bin10101100001101100…
…111011011001000000
32012122212002001201102
4111201230323121000
5334314141112112
614341325153532
71445533535600
oct254154733100
965585061642
1023114004032
119891286379
1245909bb8a8
132244896b82
141193ac6c00
1590432dbc2
hex561b3b640

23114004032 has 252 divisors, whose sum is σ = 59673364524. Its totient is φ = 8825241600.

The previous prime is 23114003971. The next prime is 23114004037. The reversal of 23114004032 is 23040041132.

It can be written as a sum of positive squares in 2 ways, for example, as 6538986496 + 16575017536 = 80864^2 + 128744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23114003995 and 23114004013.

It is not an unprimeable number, because it can be changed into a prime (23114004037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19245032 + ... + 19246232.

Almost surely, 223114004032 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 23114004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29836682262).

23114004032 is an abundant number, since it is smaller than the sum of its proper divisors (36559360492).

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

23114004032 is a wasteful number, since it uses less digits than its factorization.

23114004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23114004032 its reverse (23040041132), we get a palindrome (46154045164).

The spelling of 23114004032 in words is "twenty-three billion, one hundred fourteen million, four thousand, thirty-two".