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22055445235314 = 23253128931793137
BaseRepresentation
bin1010000001111001011101…
…11110101000011001110010
32220002110221220022010211200
411000330232332220121302
510342324022440012224
6114524044234552030
74434311331163221
oct500745676503162
986073856263750
1022055445235314
11703373093a847
1225825abb98616
13c3ca8676574a
145636bc6bacb8
15283aa57ab5c9
hex140f2efa8672

22055445235314 has 48 divisors (see below), whose sum is σ = 48692239209432. Its totient is φ = 7212538105344.

The previous prime is 22055445235303. The next prime is 22055445235379. The reversal of 22055445235314 is 41353254455022.

22055445235314 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 54 + 45 + 23 + 531 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22014554329089 + 40890906225 = 4691967^2 + 202215^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22055445235314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11403354 + ... + 13196490.

Almost surely, 222055445235314 is an apocalyptic number.

22055445235314 is an abundant number, since it is smaller than the sum of its proper divisors (26636793974118).

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

22055445235314 is a wasteful number, since it uses less digits than its factorization.

22055445235314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806091 (or 1806088 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 22055445235314 in words is "twenty-two trillion, fifty-five billion, four hundred forty-five million, two hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 12893 25786 38679 77358 116037 232074 683329 1366658 1793137 2049987 3586274 4099974 5379411 6149961 10758822 12299922 16138233 32276466 95036261 190072522 285108783 570217566 855326349 1710652698 23118915341 46237830682 69356746023 138713492046 208070238069 416140476138 1225302513073 2450605026146 3675907539219 7351815078438 11027722617657 22055445235314