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23034420024 = 233711192932239
BaseRepresentation
bin10101011100111101…
…010101101100111000
32012110022022202222120
4111130331111230320
5334133302420044
614325403321240
71443546224340
oct253475255470
965408282876
1023034420024
119850369770
12456a220220
132231250c45
1411872cbd20
158ec35d519
hex55cf55b38

23034420024 has 256 divisors, whose sum is σ = 75866112000. Its totient is φ = 5646205440.

The previous prime is 23034419999. The next prime is 23034420037. The reversal of 23034420024 is 42002443032.

It is a super-3 number, since 3×230344200243 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23034419976 and 23034420003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10286697 + ... + 10288935.

It is an arithmetic number, because the mean of its divisors is an integer number (296352000).

Almost surely, 223034420024 is an apocalyptic number.

23034420024 is a gapful number since it is divisible by the number (24) 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 23034420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37933056000).

23034420024 is an abundant number, since it is smaller than the sum of its proper divisors (52831691976).

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

23034420024 is a wasteful number, since it uses less digits than its factorization.

23034420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23034420024 its reverse (42002443032), we get a palindrome (65036863056).

The spelling of 23034420024 in words is "twenty-three billion, thirty-four million, four hundred twenty thousand, twenty-four".