Search a number
-
+
23165064252 = 223211219535281
BaseRepresentation
bin10101100100101111…
…101101010000111100
32012210102011012011200
4111210233231100330
5334420224024002
614350351415500
71450023540321
oct254457552074
965712135150
1023165064252
119908090700
1245a5b24590
132252333a15
14119a7b8b48
15908a67b1c
hex564bed43c

23165064252 has 216 divisors, whose sum is σ = 69042289680. Its totient is φ = 6523545600.

The previous prime is 23165064151. The next prime is 23165064253. The reversal of 23165064252 is 25246056132.

23165064252 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 5 + 0 + 642 + 5 + 2 = 666.

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 (23165064253) 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 71 ways as a sum of consecutive naturals, for example, 4383852 + ... + 4389132.

It is an arithmetic number, because the mean of its divisors is an integer number (319640230).

Almost surely, 223165064252 is an apocalyptic number.

23165064252 is a gapful number since it is divisible by the number (22) 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 23165064252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34521144840).

23165064252 is an abundant number, since it is smaller than the sum of its proper divisors (45877225428).

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

23165064252 is a wasteful number, since it uses less digits than its factorization.

23165064252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23165064252 in words is "twenty-three billion, one hundred sixty-five million, sixty-four thousand, two hundred fifty-two".