Search a number
-
+
23203819584 = 26321125772
BaseRepresentation
bin10101100111000011…
…100011000001000000
32012220010002011111100
4111213003203001000
5340010134211314
614354254214400
71451004132531
oct254703430100
965803064440
1023203819584
119927a51100
1245b6ab4400
13225a382b7a
1411a19c6688
1590c170c09
hex5670e3040

23203819584 has 189 divisors, whose sum is σ = 73232467581. Its totient is φ = 7019274240.

The previous prime is 23203819549. The next prime is 23203819609. The reversal of 23203819584 is 48591830232.

The square root of 23203819584 is 152328.

It is a perfect power (a square), and thus also a powerful number.

23203819584 is a `hidden beast` number, since 2 + 3 + 20 + 38 + 19 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23043240000 + 160579584 = 151800^2 + 12672^2 .

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 26 ways as a sum of consecutive naturals, for example, 40214304 + ... + 40214880.

Almost surely, 223203819584 is an apocalyptic number.

23203819584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23203819584 is the 152328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23203819584

23203819584 is an abundant number, since it is smaller than the sum of its proper divisors (50028647997).

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

23203819584 is an equidigital number, since it uses as much as digits as its factorization.

23203819584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 23203819584 in words is "twenty-three billion, two hundred three million, eight hundred nineteen thousand, five hundred eighty-four".