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2212588242 = 232110872
BaseRepresentation
bin1000001111100001…
…0110101011010010
312201012101010110200
42003320112223102
514012410310432
61003315240030
7105554455404
oct20370265322
95635333420
102212588242
11a35a48327
12518ba9016
1329351b317
1416dbd6b74
15ce3a6a7c
hex83e16ad2

2212588242 has 18 divisors (see below), whose sum is σ = 4794373623. Its totient is φ = 737462892.

The previous prime is 2212588241. The next prime is 2212588277. The reversal of 2212588242 is 2428852122.

It is a happy number.

2212588242 is a `hidden beast` number, since 22 + 12 + 588 + 2 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1106294121 + 1106294121 = 33261^2 + 33261^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33261.

It is a junction number, because it is equal to n+sod(n) for n = 2212588197 and 2212588206.

It is not an unprimeable number, because it can be changed into a prime (2212588241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 194023 + ... + 205109.

Almost surely, 22212588242 is an apocalyptic number.

2212588242 is an abundant number, since it is smaller than the sum of its proper divisors (2581785381).

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

2212588242 is an frugal number, since it uses more digits than its factorization.

2212588242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22182 (or 11092 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 2212588242 is about 47038.1572980915. The cubic root of 2212588242 is about 1303.0673607892.

The spelling of 2212588242 in words is "two billion, two hundred twelve million, five hundred eighty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 11087 22174 33261 66522 99783 199566 122921569 245843138 368764707 737529414 1106294121 2212588242