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23234330000000 = 27577247417
BaseRepresentation
bin1010100100001101010011…
…11111000111101010000000
310001021011212101222011022202
411102012221333013222000
511021132401440000000
6121225412010452332
74615424233303400
oct522065177075200
9101234771864282
1023234330000000
117448695627039
122732b761340a8
13cc6cac5bc372
145a4794776800
152a45a1885dd5
hex1521a9fc7a80

23234330000000 has 384 divisors, whose sum is σ = 67306529843280. Its totient is φ = 7965888000000.

The previous prime is 23234329999913. The next prime is 23234330000039. The reversal of 23234330000000 is 3343232.

It can be written as a sum of positive squares in 8 ways, for example, as 23101711667776 + 132618332224 = 4806424^2 + 364168^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489976292 + ... + 490023708.

Almost surely, 223234330000000 is an apocalyptic number.

23234330000000 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 23234330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33653264921640).

23234330000000 is an abundant number, since it is smaller than the sum of its proper divisors (44072199843280).

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

23234330000000 is an frugal number, since it uses more digits than its factorization.

23234330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47480 (or 47431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 23234330000000 its reverse (3343232), we get a palindrome (23234333343232).

The spelling of 23234330000000 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred thirty million", and thus it is an aban number.