Search a number
-
+
23233245300 = 223252238912611
BaseRepresentation
bin10101101000110011…
…110011000001110100
32012222011110010222200
4111220303303001310
5340040202322200
614401225024500
71451512220016
oct255063630164
965864403880
1023233245300
11994261a081
124604925130
1322634b6635
1411a58861b6
1590ea34800
hex568cf3074

23233245300 has 216 divisors, whose sum is σ = 76849456320. Its totient is φ = 5859110400.

The previous prime is 23233245293. The next prime is 23233245311. The reversal of 23233245300 is 354233232.

23233245300 is a `hidden beast` number, since 2 + 32 + 3 + 324 + 5 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1835995 + ... + 1848605.

It is an arithmetic number, because the mean of its divisors is an integer number (355784520).

Almost surely, 223233245300 is an apocalyptic number.

23233245300 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 23233245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38424728160).

23233245300 is an abundant number, since it is smaller than the sum of its proper divisors (53616211020).

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

23233245300 is a wasteful number, since it uses less digits than its factorization.

23233245300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12743 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 23233245300 its reverse (354233232), we get a palindrome (23587478532).

The spelling of 23233245300 in words is "twenty-three billion, two hundred thirty-three million, two hundred forty-five thousand, three hundred".