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22342424322 = 23375910116889
BaseRepresentation
bin10100110011101101…
…100101011100000010
32010200002012202100010
4110303231211130002
5331224130034242
614133003405350
71420444321221
oct246355453402
963602182303
1022342424322
119525797099
1243b6523856
132150a84c2a
14111d438cb8
158ab71c89c
hex533b65702

22342424322 has 64 divisors (see below), whose sum is σ = 47135260800. Its totient is φ = 7052428800.

The previous prime is 22342424281. The next prime is 22342424329.

22342424322 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22342424322.

It is not an unprimeable number, because it can be changed into a prime (22342424329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314454 + ... + 1331342.

It is an arithmetic number, because the mean of its divisors is an integer number (736488450).

Almost surely, 222342424322 is an apocalyptic number.

22342424322 is an abundant number, since it is smaller than the sum of its proper divisors (24792836478).

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

22342424322 is a wasteful number, since it uses less digits than its factorization.

22342424322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091.

The product of its digits is 36864, while the sum is 30.

The spelling of 22342424322 in words is "twenty-two billion, three hundred forty-two million, four hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 59 74 101 111 118 177 202 222 303 354 606 2183 3737 4366 5959 6549 7474 11211 11918 13098 16889 17877 22422 33778 35754 50667 101334 220483 440966 624893 661449 996451 1249786 1322898 1705789 1874679 1992902 2989353 3411578 3749358 5117367 5978706 10234734 36868687 63114193 73737374 100641551 110606061 126228386 189342579 201283102 221212122 301924653 378685158 603849306 3723737387 7447474774 11171212161 22342424322