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205226204212432 = 24134643812326161
BaseRepresentation
bin101110101010011011110011…
…000000000010110011010000
3222220122102201000212210012101
4232222123303000002303100
5203344411231234244212
62004251341111210144
761141050441206524
oct5652336300026320
9886572630783171
10205226204212432
115a433a43050717
121b026268676954
138a68995516450
14389700373dd84
1518ad6104c6157
hexbaa6f3002cd0

205226204212432 has 80 divisors (see below), whose sum is σ = 428373697203648. Its totient is φ = 94684108400640.

The previous prime is 205226204212417. The next prime is 205226204212439. The reversal of 205226204212432 is 234212402622502.

It is a junction number, because it is equal to n+sod(n) for n = 205226204212391 and 205226204212400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205226204212439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7844725432 + ... + 7844751592.

Almost surely, 2205226204212432 is an apocalyptic number.

It is an amenable number.

205226204212432 is an abundant number, since it is smaller than the sum of its proper divisors (223147492991216).

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

205226204212432 is a wasteful number, since it uses less digits than its factorization.

205226204212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38948 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 205226204212432 its reverse (234212402622502), we get a palindrome (439438606834934).

The spelling of 205226204212432 in words is "two hundred five trillion, two hundred twenty-six billion, two hundred four million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 4643 8123 9286 16246 18572 26161 32492 37144 52322 60359 64984 74288 104644 105599 120718 129968 209288 211198 241436 340093 418576 422396 482872 680186 844792 965744 1360372 1689584 2720744 5441488 37715089 75430178 121465523 150860356 212505803 242931046 301720712 425011606 485862092 490296157 603441424 850023212 971724184 980592314 1579051799 1700046424 1943448368 1961184628 2762575439 3158103598 3400092848 3922369256 5525150878 6316207196 7844738512 11050301756 12632414392 22100603512 25264828784 44201207024 986664443329 1973328886658 3946657773316 7893315546632 12826637763277 15786631093264 25653275526554 51306551053108 102613102106216 205226204212432