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232322114112 = 26311225139841
BaseRepresentation
bin1101100001011101111…
…0100010001001000000
3211012122221001012120220
43120113132202021000
512301243430122422
6254421033103040
722533105246564
oct3302736421100
9735587035526
10232322114112
118a58885aa00
1239038257a80
1318ba57ccb9a
14b35cab36a4
15609ad8be5c
hex36177a2240

232322114112 has 168 divisors, whose sum is σ = 678354991776. Its totient is φ = 70118400000.

The previous prime is 232322114083. The next prime is 232322114117. The reversal of 232322114112 is 211411223232.

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

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

It is not an unprimeable number, because it can be changed into a prime (232322114117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5811312 + ... + 5851152.

It is an arithmetic number, because the mean of its divisors is an integer number (4037827332).

Almost surely, 2232322114112 is an apocalyptic number.

232322114112 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 232322114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339177495888).

232322114112 is an abundant number, since it is smaller than the sum of its proper divisors (446032877664).

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

232322114112 is a wasteful number, since it uses less digits than its factorization.

232322114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40129 (or 40108 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 232322114112 its reverse (211411223232), we get a palindrome (443733337344).

The spelling of 232322114112 in words is "two hundred thirty-two billion, three hundred twenty-two million, one hundred fourteen thousand, one hundred twelve".