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22340204322 = 23173719330671
BaseRepresentation
bin10100110011100101…
…000111011100100010
32010122221000222001220
4110303211013130202
5331223043014242
614132444035510
71420416414012
oct246345073442
963587028056
1022340204322
119524510187
1243b5832b96
132150488617
14111d01bc42
158ab42ebec
hex533947722

22340204322 has 64 divisors (see below), whose sum is σ = 48840620544. Its totient is φ = 6783713280.

The previous prime is 22340204311. The next prime is 22340204333.

It is a happy number.

22340204322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22340204311) and next prime (22340204333).

It is a junction number, because it is equal to n+sod(n) for n = 22340204292 and 22340204301.

It is an unprimeable number.

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, 713047 + ... + 743717.

It is an arithmetic number, because the mean of its divisors is an integer number (763134696).

Almost surely, 222340204322 is an apocalyptic number.

22340204322 is an abundant number, since it is smaller than the sum of its proper divisors (26500416222).

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

22340204322 is a wasteful number, since it uses less digits than its factorization.

22340204322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30923.

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 22340204322 in words is "twenty-two billion, three hundred forty million, two hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 193 222 386 579 629 1158 1258 1887 3281 3774 6562 7141 9843 14282 19686 21423 30671 42846 61342 92013 121397 184026 242794 364191 521407 728382 1042814 1134827 1564221 2269654 3128442 3404481 5919503 6808962 11839006 17758509 19292059 35517018 38584118 57876177 100631551 115752354 201263102 219021611 301894653 438043222 603789306 657064833 1314129666 3723367387 7446734774 11170102161 22340204322