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23008218912 = 2533722323629
BaseRepresentation
bin10101011011011001…
…011000111100100000
32012101111000121211000
4111123121120330200
5334110101001122
614323025552000
71443110430300
oct253331307440
965344017730
1023008218912
1198375a3458
1245614a5600
1322289a9123
141183a2b600
158e9dd50ac
hex55b658f20

23008218912 has 288 divisors, whose sum is σ = 81461116800. Its totient is φ = 6287694336.

The previous prime is 23008218887. The next prime is 23008218917. The reversal of 23008218912 is 21981280032.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008218917) 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 47 ways as a sum of consecutive naturals, for example, 961914 + ... + 985542.

It is an arithmetic number, because the mean of its divisors is an integer number (282851100).

Almost surely, 223008218912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23008218912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40730558400).

23008218912 is an abundant number, since it is smaller than the sum of its proper divisors (58452897888).

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

23008218912 is a wasteful number, since it uses less digits than its factorization.

23008218912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23685 (or 23664 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 23008218912 its reverse (21981280032), we get a palindrome (44989498944).

The spelling of 23008218912 in words is "twenty-three billion, eight million, two hundred eighteen thousand, nine hundred twelve".