Search a number
-
+
23489000700 = 2235211233167149
BaseRepresentation
bin10101111000000011…
…011011010011111100
32020121222200212102220
4111320003123103330
5341101141010300
614442442445340
71461036132414
oct257003332374
966558625386
1023489000700
119a63a23980
124676503850
1322a44928a9
1411cb81d644
15927203da0
hex5780db4fc

23489000700 has 576 divisors, whose sum is σ = 81594777600. Its totient is φ = 5157504000.

The previous prime is 23489000687. The next prime is 23489000701. The reversal of 23489000700 is 700098432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23489000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157644226 + ... + 157644374.

It is an arithmetic number, because the mean of its divisors is an integer number (141657600).

Almost surely, 223489000700 is an apocalyptic number.

23489000700 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 23489000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40797388800).

23489000700 is an abundant number, since it is smaller than the sum of its proper divisors (58105776900).

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

23489000700 is a wasteful number, since it uses less digits than its factorization.

23489000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 23489000700 in words is "twenty-three billion, four hundred eighty-nine million, seven hundred", and thus it is an aban number.