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23242322324232 = 233211191699909091
BaseRepresentation
bin1010100100011100001100…
…10111011010101100001000
310001021221111101221022001100
411102032012113122230020
511021300234003333412
6121233213034021400
74616126262034254
oct522160627325410
9101257441838040
1023242322324232
117451017031580
122734626877860
13cc79843757bb
145a4d12003264
152a48bd366edc
hex1523865dab08

23242322324232 has 192 divisors, whose sum is σ = 72327359520000. Its totient is φ = 6668502422400.

The previous prime is 23242322324171. The next prime is 23242322324261.

It is a happy number.

23242322324232 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 2 + 3 + 223 + 2 + 423 + 2 = 666.

23242322324232 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

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, 25112007 + ... + 26021097.

It is an arithmetic number, because the mean of its divisors is an integer number (376704997500).

Almost surely, 223242322324232 is an apocalyptic number.

23242322324232 is a gapful number since it is divisible by the number (22) 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 23242322324232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36163679760000).

23242322324232 is an abundant number, since it is smaller than the sum of its proper divisors (49085037195768).

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

23242322324232 is a wasteful number, since it uses less digits than its factorization.

23242322324232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910832 (or 910825 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 2324232 and 2324232, that added together give a palindrome (4648464).

The spelling of 23242322324232 in words is "twenty-three trillion, two hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, two hundred thirty-two".