Search a number
-
+
23212212231000 = 23353133391175519
BaseRepresentation
bin1010100011100100000111…
…01010100001101101011000
310001012001202222111002011010
411101302003222201231120
511020302102312343000
6121211313150133520
74614012154335012
oct521620352415530
9101161688432133
1023212212231000
11743a275732901
12272a822ab12a0
13cc4b96244aa0
145a36970db1b2
152a3c09c42d50
hex151c83aa1b58

23212212231000 has 256 divisors, whose sum is σ = 78016477593600. Its totient is φ = 5712057792000.

The previous prime is 23212212230927. The next prime is 23212212231023. The reversal of 23212212231000 is 13221221232.

It is a super-2 number, since 2×232122122310002 (a number of 28 digits) contains 22 as substring.

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, 132161241 + ... + 132336759.

It is an arithmetic number, because the mean of its divisors is an integer number (304751865600).

Almost surely, 223212212231000 is an apocalyptic number.

23212212231000 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 23212212231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39008238796800).

23212212231000 is an abundant number, since it is smaller than the sum of its proper divisors (54804265362600).

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

23212212231000 is a wasteful number, since it uses less digits than its factorization.

23212212231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178947 (or 178933 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23212212231000 its reverse (13221221232), we get a palindrome (23225433452232).

The spelling of 23212212231000 in words is "twenty-three trillion, two hundred twelve billion, two hundred twelve million, two hundred thirty-one thousand".