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234442111212 = 223437149131251
BaseRepresentation
bin1101101001010111010…
…1101011100011101100
3211102010200012012220000
43122111311223203230
512320114140024322
6255411244024300
722636460031261
oct3322565534354
9742120165800
10234442111212
1190476507121
123952a232090
1319152a9ca3a
14b4c0487268
1561720543ac
hex3695d6b8ec

234442111212 has 120 divisors (see below), whose sum is σ = 633671530800. Its totient is φ = 75524400000.

The previous prime is 234442111201. The next prime is 234442111217. The reversal of 234442111212 is 212111244432.

234442111212 is a `hidden beast` number, since 2 + 3 + 4 + 442 + 1 + 1 + 1 + 212 = 666.

It is a super-2 number, since 2×2344421112122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (234442111217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1720587 + ... + 1851837.

It is an arithmetic number, because the mean of its divisors is an integer number (5280596090).

Almost surely, 2234442111212 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 234442111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316835765400).

234442111212 is an abundant number, since it is smaller than the sum of its proper divisors (399229419588).

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

234442111212 is a wasteful number, since it uses less digits than its factorization.

234442111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131453 (or 131442 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 234442111212 its reverse (212111244432), we get a palindrome (446553355644).

The spelling of 234442111212 in words is "two hundred thirty-four billion, four hundred forty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 149 162 222 298 324 333 444 447 596 666 894 999 1332 1341 1788 1998 2682 2997 3996 4023 5364 5513 5994 8046 11026 11988 12069 16092 16539 22052 24138 33078 48276 49617 66156 99234 131251 148851 198468 262502 297702 393753 446553 525004 595404 787506 893106 1181259 1575012 1786212 2362518 3543777 4725036 4856287 7087554 9712574 10631331 14175108 14568861 19425148 19556399 21262662 29137722 39112798 42525324 43706583 58275444 58669197 78225596 87413166 117338394 131119749 174826332 176007591 234676788 262239498 352015182 393359247 524478996 528022773 704030364 723586763 786718494 1056045546 1447173526 1573436988 1584068319 2112091092 2170760289 2894347052 3168136638 4341520578 6336273276 6512280867 8683041156 13024561734 19536842601 26049123468 39073685202 58610527803 78147370404 117221055606 234442111212