Search a number
-
+
23218650000 = 2436557213
BaseRepresentation
bin10101100111111100…
…000111101110010000
32012221010222122000000
4111213330013232100
5340022433300000
614355544130000
71451244161100
oct254774075620
965833878000
1023218650000
119935360447
1245bba66900
132260476270
1411a3967200
1590d600000
hex567f07b90

23218650000 has 1260 divisors, whose sum is σ = 105612904404. Its totient is φ = 4898880000.

The previous prime is 23218649977. The next prime is 23218650011. The reversal of 23218650000 is 5681232.

23218650000 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 8 + 650 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21956126976 + 1262523024 = 148176^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 1786049994 + ... + 1786050006.

Almost surely, 223218650000 is an apocalyptic number.

23218650000 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 23218650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52806452202).

23218650000 is an abundant number, since it is smaller than the sum of its proper divisors (82394254404).

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

23218650000 is an frugal number, since it uses more digits than its factorization.

23218650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23218650000 in words is "twenty-three billion, two hundred eighteen million, six hundred fifty thousand".