Search a number
-
+
23071392000 = 2836532343
BaseRepresentation
bin10101011111001010…
…011000000100000000
32012112212220011000000
4111133022120010000
5334222234021000
614333204000000
71444505411346
oct253712300400
965485804000
1023071392000
11986a221318
12457a690000
132238ac7457
14118c193996
15900713000
hex55f298100

23071392000 has 1008 divisors, whose sum is σ = 92008844928. Its totient is φ = 5748019200.

The previous prime is 23071391969. The next prime is 23071392013. The reversal of 23071392000 is 29317032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 536543979 + ... + 536544021.

It is an arithmetic number, because the mean of its divisors is an integer number (91278616).

Almost surely, 223071392000 is an apocalyptic number.

23071392000 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 23071392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46004422464).

23071392000 is an abundant number, since it is smaller than the sum of its proper divisors (68937452928).

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

23071392000 is an frugal number, since it uses more digits than its factorization.

23071392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 23071392000 in words is "twenty-three billion, seventy-one million, three hundred ninety-two thousand".