Search a number
-
+
225745253214273 = 3213101167114391807
BaseRepresentation
bin110011010101000001101001…
…101000001010100001000001
31002121022000221211121120010100
4303111001221220022201001
5214042102234310324043
62120041534310553013
765356361551033452
oct6325015150124101
91077260854546110
10225745253214273
1165a2502a300181
122139ab38668769
1398c68bc2b1670
143da61b2a73129
151b172434a8cd3
hexcd5069a0a841

225745253214273 has 48 divisors (see below), whose sum is σ = 356759679983616. Its totient is φ = 136721086531200.

The previous prime is 225745253214269. The next prime is 225745253214281. The reversal of 225745253214273 is 372412352547522.

225745253214273 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 525 + 3 + 2 + 1 + 42 + 73 = 666.

It is not a de Polignac number, because 225745253214273 - 22 = 225745253214269 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225745253214223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55222465 + ... + 59169342.

It is an arithmetic number, because the mean of its divisors is an integer number (7432493332992).

Almost surely, 2225745253214273 is an apocalyptic number.

It is an amenable number.

225745253214273 is a deficient number, since it is larger than the sum of its proper divisors (131014426769343).

225745253214273 is a wasteful number, since it uses less digits than its factorization.

225745253214273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114392094 (or 114392091 counting only the distinct ones).

The product of its digits is 28224000, while the sum is 54.

The spelling of 225745253214273 in words is "two hundred twenty-five trillion, seven hundred forty-five billion, two hundred fifty-three million, two hundred fourteen thousand, two hundred seventy-three".

Divisors: 1 3 9 13 39 101 117 167 303 501 909 1313 1503 2171 3939 6513 11817 16867 19539 50601 151803 219271 657813 1973439 114391807 343175421 1029526263 1487093491 4461280473 11553572507 13383841419 19103431769 34660717521 57310295307 103982152563 150196442591 171930885921 248344612997 450589327773 745033838991 1351767983319 1929446608669 2235101516973 5788339826007 17365019478021 25082805912697 75248417738091 225745253214273