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23052234240 = 29325732917
BaseRepresentation
bin10101011110000001…
…010010111000000000
32012111112211211111100
4111132001102320000
5334202332443430
614331241214400
71444153521000
oct253601227000
965445754440
1023052234240
11985a426862
124574191400
132234b4a4b9
141189808000
158edbcb960
hex55e052e00

23052234240 has 480 divisors, whose sum is σ = 93135556800. Its totient is φ = 5267275776.

The previous prime is 23052234239. The next prime is 23052234259. The reversal of 23052234240 is 4243225032.

It is a happy number.

23052234240 is a `hidden beast` number, since 230 + 5 + 2 + 2 + 3 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7901262 + ... + 7904178.

It is an arithmetic number, because the mean of its divisors is an integer number (194032410).

Almost surely, 223052234240 is an apocalyptic number.

23052234240 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 23052234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46567778400).

23052234240 is an abundant number, since it is smaller than the sum of its proper divisors (70083322560).

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

23052234240 is an equidigital number, since it uses as much as digits as its factorization.

23052234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23052234240 its reverse (4243225032), we get a palindrome (27295459272).

The spelling of 23052234240 in words is "twenty-three billion, fifty-two million, two hundred thirty-four thousand, two hundred forty".