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23023033000 = 23531121491277
BaseRepresentation
bin10101011100010001…
…111001101010101000
32012102111220020220221
4111130101321222220
5334122344024000
614324315255424
71443350360122
oct253421715250
965374806827
1023023033000
1198449a1500
12456644a574
13222ba94c66
1411859a6212
158eb35e61a
hex55c479aa8

23023033000 has 192 divisors, whose sum is σ = 59660874000. Its totient is φ = 8309312000.

The previous prime is 23023032983. The next prime is 23023033027. The reversal of 23023033000 is 33032032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39866596 + 22983166404 = 6314^2 + 151602^2 .

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 47 ways as a sum of consecutive naturals, for example, 18028362 + ... + 18029638.

Almost surely, 223023033000 is an apocalyptic number.

23023033000 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 23023033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29830437000).

23023033000 is an abundant number, since it is smaller than the sum of its proper divisors (36637841000).

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

23023033000 is a wasteful number, since it uses less digits than its factorization.

23023033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 23023033000 its reverse (33032032), we get a palindrome (23056065032).

The spelling of 23023033000 in words is "twenty-three billion, twenty-three million, thirty-three thousand".