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23184814140 = 22335791373967
BaseRepresentation
bin10101100101111011…
…000011000000111100
32012211210022120221000
4111211323003000330
5334440303023030
614352335010300
71450353445215
oct254573030074
965753276830
1023184814140
119918250024
1245b0669990
13225645a347
14119d27a40c
1590a669860
hex565ec303c

23184814140 has 192 divisors, whose sum is σ = 73595289600. Its totient is φ = 6058271232.

The previous prime is 23184814129. The next prime is 23184814141. The reversal of 23184814140 is 4141848132.

It is a happy number.

23184814140 is a `hidden beast` number, since 2 + 31 + 8 + 481 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23184814095 and 23184814104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23184814141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5842437 + ... + 5846403.

It is an arithmetic number, because the mean of its divisors is an integer number (383308800).

Almost surely, 223184814140 is an apocalyptic number.

23184814140 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 23184814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36797644800).

23184814140 is an abundant number, since it is smaller than the sum of its proper divisors (50410475460).

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

23184814140 is a wasteful number, since it uses less digits than its factorization.

23184814140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 23184814140 in words is "twenty-three billion, one hundred eighty-four million, eight hundred fourteen thousand, one hundred forty".