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225439510023 = 327213331118801
BaseRepresentation
bin1101000111110100111…
…1011110111000000111
3210112220021012200201100
43101331033132320013
512143200003310043
6251322051031143
722200413134500
oct3217517367007
9715807180640
10225439510023
11876767a9652
123783729b4b3
131834991b7a0
14aca8995ba7
155ce6a11cd3
hex347d3dee07

225439510023 has 72 divisors (see below), whose sum is σ = 409174046736. Its totient is φ = 118552896000.

The previous prime is 225439510007. The next prime is 225439510097. The reversal of 225439510023 is 320015934522.

225439510023 is a `hidden beast` number, since 2 + 2 + 543 + 9 + 5 + 100 + 2 + 3 = 666.

It is not a de Polignac number, because 225439510023 - 24 = 225439510007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225439510023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225439510223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1838223 + ... + 1957023.

Almost surely, 2225439510023 is an apocalyptic number.

225439510023 is a deficient number, since it is larger than the sum of its proper divisors (183734536713).

225439510023 is a wasteful number, since it uses less digits than its factorization.

225439510023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119165 (or 119155 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 225439510023 in words is "two hundred twenty-five billion, four hundred thirty-nine million, five hundred ten thousand, twenty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 331 441 637 819 993 1911 2317 2979 4303 5733 6951 12909 16219 20853 30121 38727 48657 90363 118801 145971 210847 271089 356403 632541 831607 1069209 1544413 1897623 2494821 4633239 5821249 7484463 10810891 13899717 17463747 32432673 39323131 52391241 75676237 97298019 117969393 227028711 275261917 353908179 511200703 681086133 825785751 1533602109 1926833419 2477357253 3578404921 4600806327 5780500257 10735214763 17341500771 25048834447 32205644289 75146503341 225439510023