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23223033540 = 22325722990793
BaseRepresentation
bin10101101000001100…
…110101111011000100
32012221110020100002100
4111220030311323010
5340030044033130
614400222112100
71451326346100
oct255014657304
965843210070
1023223033540
119937884903
12460141b630
13226134c585
1411a4388900
1590dbb8c60
hex568335ec4

23223033540 has 216 divisors, whose sum is σ = 84770726040. Its totient is φ = 5125026816.

The previous prime is 23223033517. The next prime is 23223033541. The reversal of 23223033540 is 4533032232.

23223033540 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 303 + 354 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 23218445376 = 2142^2 + 152376^2 .

It is not an unprimeable number, because it can be changed into a prime (23223033541) 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 71 ways as a sum of consecutive naturals, for example, 210384 + ... + 301176.

It is an arithmetic number, because the mean of its divisors is an integer number (392457065).

Almost surely, 223223033540 is an apocalyptic number.

23223033540 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 23223033540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42385363020).

23223033540 is an abundant number, since it is smaller than the sum of its proper divisors (61547692500).

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

23223033540 is a wasteful number, since it uses less digits than its factorization.

23223033540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90851 (or 90839 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 23223033540 its reverse (4533032232), we get a palindrome (27756065772).

The spelling of 23223033540 in words is "twenty-three billion, two hundred twenty-three million, thirty-three thousand, five hundred forty".