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2122442312352 = 25373302859919
BaseRepresentation
bin11110111000101011011…
…010111000101010100000
321111220101122122210011120
4132320223122320222200
5234233230212443402
64303011520412240
7306225045662445
oct36705332705240
97456348583146
102122442312352
1174913939836a
122a3415777080
131251b773057b
1474a2630b9cc
153a3225b63bc
hex1ee2b6b8aa0

2122442312352 has 48 divisors (see below), whose sum is σ = 5647731788160. Its totient is φ = 697789251072.

The previous prime is 2122442312329. The next prime is 2122442312369. The reversal of 2122442312352 is 2532132442212.

Adding to 2122442312352 its reverse (2532132442212), we get a palindrome (4654574754564).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21224423123522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151422952 + ... + 151436967.

It is an arithmetic number, because the mean of its divisors is an integer number (117661078920).

Almost surely, 22122442312352 is an apocalyptic number.

It is an amenable number.

2122442312352 is an abundant number, since it is smaller than the sum of its proper divisors (3525289475808).

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

2122442312352 is a wasteful number, since it uses less digits than its factorization.

2122442312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302860005 (or 302859997 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The spelling of 2122442312352 in words is "two trillion, one hundred twenty-two billion, four hundred forty-two million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 302859919 605719838 908579757 1211439676 1817159514 2422879352 3634319028 4845758704 7268638056 9691517408 14537276112 22108774087 29074552224 44217548174 66326322261 88435096348 132652644522 176870192696 265305289044 353740385392 530610578088 707480770784 1061221156176 2122442312352