Search a number
-
+
23006716920 = 233251123376827
BaseRepresentation
bin10101011011010011…
…101010001111111000
32012101101012022110200
4111123103222033320
5334104204420140
614322533442200
71443061603305
oct253323521770
965341168420
1023006716920
119836767a40
124560aa0360
1322285a1585
14118375a0ac
158e9bda030
hex55b4ea3f8

23006716920 has 384 divisors, whose sum is σ = 87428989440. Its totient is φ = 5189944320.

The previous prime is 23006716871. The next prime is 23006716921. The reversal of 23006716920 is 2961760032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006716921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3366547 + ... + 3373373.

It is an arithmetic number, because the mean of its divisors is an integer number (227679660).

Almost surely, 223006716920 is an apocalyptic number.

23006716920 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 23006716920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43714494720).

23006716920 is an abundant number, since it is smaller than the sum of its proper divisors (64422272520).

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

23006716920 is a wasteful number, since it uses less digits than its factorization.

23006716920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 23006716920 in words is "twenty-three billion, six million, seven hundred sixteen thousand, nine hundred twenty".