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222112230224214 = 2311313831033327431
BaseRepresentation
bin110010100000001010001000…
…100101010011000101010110
31002010102201111012220112001010
4302200022020211103011112
5213103041321414133324
62104220541103513050
764533036060115401
oct6240121045230526
91063381435815033
10222112230224214
11648542a4564790
1220ab2a085b8786
1396c212a388575
143cbc409bbcd38
151aa29aebd7829
hexca0288953156

222112230224214 has 128 divisors (see below), whose sum is σ = 501613971111936. Its totient is φ = 64956829392000.

The previous prime is 222112230224197. The next prime is 222112230224233. The reversal of 222112230224214 is 412422032211222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8097111079 + ... + 8097138509.

It is an arithmetic number, because the mean of its divisors is an integer number (3918859149312).

Almost surely, 2222112230224214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112230224214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250806985555968).

222112230224214 is an abundant number, since it is smaller than the sum of its proper divisors (279501740887722).

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

222112230224214 is a wasteful number, since it uses less digits than its factorization.

222112230224214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38194.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 222112230224214 its reverse (412422032211222), we get a palindrome (634534262435436).

The spelling of 222112230224214 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred thirty million, two hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 383 682 766 1023 1149 2046 2298 4213 8426 10333 11873 12639 20666 23746 25278 27431 30999 35619 54862 61998 71238 82293 113663 130603 164586 227326 261206 301741 320323 340989 391809 603482 640646 681978 783618 850361 905223 960969 1700722 1810446 1921938 2551083 3523553 3957539 5102166 7047106 7915078 9353971 10506073 10570659 11872617 18707942 21012146 21141318 23745234 28061913 31518219 43532929 56123826 63036438 87065858 115566803 122683709 130598787 231133606 245367418 261197574 283444523 325688263 346700409 368051127 566889046 651376526 693400818 736102254 850333569 977064789 1349520799 1700667138 1954129578 2699041598 3117889753 3582570893 4048562397 6235779506 7165141786 8097124794 8786780213 9353669259 10747712679 17573560426 18707338518 21495425358 26360340639 52720681278 96654582343 108559252309 193309164686 217118504618 289963747029 325677756927 579927494058 651355513854 1194151775399 2388303550798 3365336821579 3582455326197 6730673643158 7164910652394 10096010464737 20192020929474 37018705037369 74037410074738 111056115112107 222112230224214