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222012112 = 247172193
BaseRepresentation
bin11010011101110…
…10001011010000
3120110202101100211
431032322023100
5423313341422
634010253504
75334033430
oct1516721320
9513671324
10222012112
11104357a93
1262427294
1336cc351a
14216b22c0
1514756577
hexd3ba2d0

222012112 has 120 divisors (see below), whose sum is σ = 551224640. Its totient is φ = 84837888.

The previous prime is 222012083. The next prime is 222012121. The reversal of 222012112 is 211210222.

It is a happy number.

222012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222012092 and 222012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11684839 + ... + 11684857.

Almost surely, 2222012112 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 222012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275612320).

222012112 is an abundant number, since it is smaller than the sum of its proper divisors (329212528).

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

222012112 is an equidigital number, since it uses as much as digits as its factorization.

222012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 222012112 is about 14900.0708723147. The cubic root of 222012112 is about 605.5159062756.

Adding to 222012112 its reverse (211210222), we get a palindrome (433222334).

The spelling of 222012112 in words is "two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 289 304 323 361 476 532 578 646 722 952 1064 1156 1292 1444 1904 2023 2128 2261 2312 2527 2584 2888 4046 4522 4624 5054 5168 5491 5776 6137 6859 8092 9044 10108 10982 12274 13718 16184 18088 20216 21964 24548 27436 32368 36176 38437 40432 42959 43928 48013 49096 54872 76874 85918 87856 96026 98192 104329 109744 116603 153748 171836 192052 208658 233206 307496 343672 384104 417316 466412 614992 687344 730303 768208 816221 834632 932824 1460606 1632442 1669264 1865648 1982251 2921212 3264884 3964502 5842424 6529768 7929004 11684848 13059536 13875757 15858008 27751514 31716016 55503028 111006056 222012112