Search a number
-
+
225023289759 = 33831095691619
BaseRepresentation
bin1101000110010001101…
…1101110100110011111
3210111211021000111212000
43101210123232212133
512141321430233014
6251212502013343
722154200255362
oct3214433564637
9714737014760
10225023289759
1187482865164
123773ba17253
13182b161b2c8
14ac695ac0d9
155cc01e7509
hex34646ee99f

225023289759 has 64 divisors (see below), whose sum is σ = 341288640000. Its totient is φ = 146499777792.

The previous prime is 225023289749. The next prime is 225023289763. The reversal of 225023289759 is 957982320522.

225023289759 is a `hidden beast` number, since 2 + 2 + 502 + 3 + 2 + 89 + 7 + 59 = 666.

It is not a de Polignac number, because 225023289759 - 221 = 225021192607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225023289719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138988252 + ... + 138989870.

It is an arithmetic number, because the mean of its divisors is an integer number (5332635000).

Almost surely, 2225023289759 is an apocalyptic number.

225023289759 is a deficient number, since it is larger than the sum of its proper divisors (116265350241).

225023289759 is a wasteful number, since it uses less digits than its factorization.

225023289759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 225023289759 in words is "two hundred twenty-five billion, twenty-three million, two hundred eighty-nine thousand, seven hundred fifty-nine".

Divisors: 1 3 9 27 83 109 249 327 569 747 981 1619 1707 2241 2943 4857 5121 9047 14571 15363 27141 43713 47227 62021 81423 134377 141681 176471 186063 244269 403131 425043 529413 558189 921211 1209393 1275129 1588239 1674567 2763633 3628179 4764717 5147743 8290899 14647093 15443229 24872697 43941279 46329687 76460513 100411999 131823837 138989061 229381539 301235997 395471511 688144617 903707991 2064433851 2711123973 8334195917 25002587751 75007763253 225023289759