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233141212212 = 223232139264221
BaseRepresentation
bin1101100100100001001…
…1001001010000110100
3211021210000022200221120
43121020103021100310
512304433122242322
6255034213143540
722562312414646
oct3311023112064
9737700280846
10233141212212
118a969155487
123922662abb0
1318ca640b80c
14b3d97b0896
1560e7c37a5c
hex36484c9434

233141212212 has 72 divisors (see below), whose sum is σ = 572769882720. Its totient is φ = 73799816640.

The previous prime is 233141212207. The next prime is 233141212219. The reversal of 233141212212 is 212212141332.

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 (233141212219) 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, 750262 + ... + 1014482.

It is an arithmetic number, because the mean of its divisors is an integer number (7955137260).

Almost surely, 2233141212212 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 233141212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286384941360).

233141212212 is an abundant number, since it is smaller than the sum of its proper divisors (339628670508).

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

233141212212 is a wasteful number, since it uses less digits than its factorization.

233141212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264413 (or 264388 counting only the distinct ones).

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

Adding to 233141212212 its reverse (212212141332), we get a palindrome (445353353544).

The spelling of 233141212212 in words is "two hundred thirty-three billion, one hundred forty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 529 556 834 1058 1587 1668 2116 3174 3197 6348 6394 9591 12788 19182 38364 73531 147062 220593 264221 294124 441186 528442 792663 882372 1056884 1585326 3170652 6077083 12154166 18231249 24308332 36462498 36726719 72924996 73453438 110180157 139772909 146906876 220360314 279545818 419318727 440720628 559091636 838637454 844714537 1677274908 1689429074 2534143611 3378858148 5068287222 10136574444 19428434351 38856868702 58285303053 77713737404 116570606106 233141212212