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232223231412 = 223253521233609
BaseRepresentation
bin1101100001000110010…
…1010100110110110100
3211012102000222110000200
43120101211110312310
512301043121401122
6254403141440500
722530464620044
oct3302145246664
9735360873020
10232223231412
118a537a61967
123900b110130
1318b8b18ab03
14b34d8d3724
1560923585ac
hex3611954db4

232223231412 has 72 divisors (see below), whose sum is σ = 599234879880. Its totient is φ = 75801123840.

The previous prime is 232223231293. The next prime is 232223231417. The reversal of 232223231412 is 214132322232.

232223231412 is a `hidden beast` number, since 2 + 3 + 2 + 223 + 23 + 1 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 444535056 + 231778696356 = 21084^2 + 481434^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232223231417) 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, 877264 + ... + 1110872.

It is an arithmetic number, because the mean of its divisors is an integer number (8322706665).

Almost surely, 2232223231412 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 232223231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299617439940).

232223231412 is an abundant number, since it is smaller than the sum of its proper divisors (367011648468).

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

232223231412 is a wasteful number, since it uses less digits than its factorization.

232223231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234193 (or 234188 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 232223231412 its reverse (214132322232), we get a palindrome (446355553644).

The spelling of 232223231412 in words is "two hundred thirty-two billion, two hundred twenty-three million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 521 636 954 1042 1563 1908 2084 3126 4689 6252 9378 18756 27613 55226 82839 110452 165678 233609 248517 331356 467218 497034 700827 934436 994068 1401654 2102481 2803308 4204962 8409924 12381277 24762554 37143831 49525108 74287662 111431493 121710289 148575324 222862986 243420578 365130867 445725972 486841156 730261734 1095392601 1460523468 2190785202 4381570404 6450645317 12901290634 19351935951 25802581268 38703871902 58055807853 77407743804 116111615706 232223231412