Search a number
-
+
2114566525 = 521922361167
BaseRepresentation
bin111111000001001…
…1011100101111101
312110100221002221201
41332002123211331
513312312112100
6545454255501
7103254342661
oct17602334575
95410832851
102114566525
11995688145
124b01b7591
1327911b0c6
14160b9c8a1
15c599336a
hex7e09b97d

2114566525 has 72 divisors (see below), whose sum is σ = 2952561024. Its totient is φ = 1498780800.

The previous prime is 2114566507. The next prime is 2114566529. The reversal of 2114566525 is 5256654112.

It is not a de Polignac number, because 2114566525 - 211 = 2114564477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114566529) 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 71 ways as a sum of consecutive naturals, for example, 12661992 + ... + 12662158.

It is an arithmetic number, because the mean of its divisors is an integer number (41007792).

Almost surely, 22114566525 is an apocalyptic number.

2114566525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2114566525 is a deficient number, since it is larger than the sum of its proper divisors (837994499).

2114566525 is a wasteful number, since it uses less digits than its factorization.

2114566525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

The square root of 2114566525 is about 45984.4161102433. The cubic root of 2114566525 is about 1283.5332322931.

The spelling of 2114566525 in words is "two billion, one hundred fourteen million, five hundred sixty-six thousand, five hundred twenty-five".

Divisors: 1 5 19 23 25 61 95 115 167 305 361 437 475 575 835 1159 1403 1525 1805 2185 3173 3841 4175 5795 7015 8303 9025 10187 10925 15865 19205 22021 26657 28975 35075 41515 50935 60287 72979 79325 96025 110105 133285 193553 207575 234301 254675 301435 364895 506483 550525 666425 967765 1171505 1386601 1507175 1824475 2532415 3677507 4451719 4838825 5857525 6933005 12662075 18387535 22258595 34665025 84582661 91937675 111292975 422913305 2114566525