Search a number
-
+
225056033517 = 37227373312647
BaseRepresentation
bin1101000110011001100…
…0101000101011101101
3210111220112122001211210
43101212120220223231
512141403321033032
6251220031505033
722155045502260
oct3214630505355
9714815561753
10225056033517
118749a29a017
123774a988179
13182b8344103
14ac6da92cd7
155cc30142cc
hex3466628aed

225056033517 has 32 divisors (see below), whose sum is σ = 344572803072. Its totient is φ = 127992492864.

The previous prime is 225056033513. The next prime is 225056033561. The reversal of 225056033517 is 715330650522.

225056033517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225056033517 - 22 = 225056033513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225056033513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17788888 + ... + 17801534.

It is an arithmetic number, because the mean of its divisors is an integer number (10767900096).

Almost surely, 2225056033517 is an apocalyptic number.

It is an amenable number.

225056033517 is a deficient number, since it is larger than the sum of its proper divisors (119516769555).

225056033517 is a wasteful number, since it uses less digits than its factorization.

225056033517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16617.

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 225056033517 in words is "two hundred twenty-five billion, fifty-six million, thirty-three thousand, five hundred seventeen".

Divisors: 1 3 7 21 227 681 1589 3733 4767 11199 12647 26131 37941 78393 88529 265587 847391 2542173 2870869 5931737 8612607 17795211 20096083 47211251 60288249 141633753 330478757 991436271 10716953977 32150861931 75018677839 225056033517