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2112222099948 = 2232321667199603
BaseRepresentation
bin11110101111001010001…
…111110111100111101100
321110221000101112012102020
4132233022033313213230
5234101312324144243
64254201430030140
7305413555421022
oct36571217674754
97427011465366
102112222099948
11744874345534
122a1442aa8350
1312424922cacc
1474336c24712
1539e2520a283
hex1ebca3f79ec

2112222099948 has 72 divisors (see below), whose sum is σ = 5155234784448. Its totient is φ = 673054750368.

The previous prime is 2112222099947. The next prime is 2112222100031. The reversal of 2112222099948 is 8499902222112.

It is a super-2 number, since 2×21122220999482 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112222099948.

It is not an unprimeable number, because it can be changed into a prime (2112222099947) 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, 10482315 + ... + 10681917.

Almost surely, 22112222099948 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 2112222099948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577617392224).

2112222099948 is an abundant number, since it is smaller than the sum of its proper divisors (3043012684500).

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

2112222099948 is a wasteful number, since it uses less digits than its factorization.

2112222099948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201323 (or 201298 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 2112222099948 in words is "two trillion, one hundred twelve billion, two hundred twenty-two million, ninety-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 1667 2116 3174 3334 5001 6348 6668 10002 20004 38341 76682 115023 153364 199603 230046 399206 460092 598809 798412 881843 1197618 1763686 2395236 2645529 3527372 4590869 5291058 9181738 10582116 13772607 18363476 27545214 55090428 105589987 211179974 316769961 332738201 422359948 633539922 665476402 998214603 1267079844 1330952804 1996429206 3992858412 7652978623 15305957246 22958935869 30611914492 45917871738 91835743476 176018508329 352037016658 528055524987 704074033316 1056111049974 2112222099948