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222231131234120 = 23517615357548969
BaseRepresentation
bin110010100001111000110111…
…101000101001111101001000
31002010212002101122010122112202
4302201320313220221331020
5213112013324043442440
62104351323341055332
764544445413042141
oct6241706750517510
91063762348118482
10222231131234120
116489a76a034328
1220b11a70257548
1397003c8986828
143cc40891aaac8
151aa5b1d456615
hexca1e37a29f48

222231131234120 has 64 divisors (see below), whose sum is σ = 538112218546800. Its totient is φ = 82291952148480.

The previous prime is 222231131234093. The next prime is 222231131234129. The reversal of 222231131234120 is 21432131132222.

222231131234120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 119086104624964 + 103145026609156 = 10912658^2 + 10156034^2 .

It is not an unprimeable number, because it can be changed into a prime (222231131234129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678733005 + ... + 2678815964.

Almost surely, 2222231131234120 is an apocalyptic number.

222231131234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222231131234120 is an abundant number, since it is smaller than the sum of its proper divisors (315881087312680).

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

222231131234120 is a wasteful number, since it uses less digits than its factorization.

222231131234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357549058 (or 5357549054 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 222231131234120 its reverse (21432131132222), we get a palindrome (243663262366342).

The spelling of 222231131234120 in words is "two hundred twenty-two trillion, two hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 20740 41480 5357548969 10715097938 21430195876 26787744845 42860391752 53575489690 91078332473 107150979380 182156664946 214301958760 326810487109 364313329892 455391662365 653620974218 728626659784 910783324730 1307241948436 1634052435545 1821566649460 2614483896872 3268104871090 3643133298920 5555778280853 6536209742180 11111556561706 13072419484360 22223113123412 27778891404265 44446226246824 55557782808530 111115565617060 222231131234120