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114220341225 = 3252225312
BaseRepresentation
bin110101001100000010…
…0000001011111101001
3101220211012201112011100
41222120010001133221
53332410401404400
6124245550152013
711152325611164
oct1523004013751
9356735645140
10114220341225
114449344aa21
121a1781b2609
13aa03978433
1457578d2adb
152e87894100
hex1a981017e9

114220341225 has 27 divisors (see below), whose sum is σ = 204590402679. Its totient is φ = 60914811600.

The previous prime is 114220341211. The next prime is 114220341241. The reversal of 114220341225 is 522143022411.

The square root of 114220341225 is 337965.

It is a perfect power (a square), and thus also a powerful number.

114220341225 is a `hidden beast` number, since 1 + 1 + 4 + 220 + 3 + 412 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41119322841 + 73101018384 = 202779^2 + 270372^2 .

It is not a de Polignac number, because 114220341225 - 213 = 114220333033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5058210 + ... + 5080740.

Almost surely, 2114220341225 is an apocalyptic number.

114220341225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114220341225 is the 337965-th square number.

114220341225 is the 168983-rd centered octagonal number.

It is an amenable number.

114220341225 is a deficient number, since it is larger than the sum of its proper divisors (90370061454).

114220341225 is an frugal number, since it uses more digits than its factorization.

114220341225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45078 (or 22539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 114220341225 its reverse (522143022411), we get a palindrome (636363363636).

The spelling of 114220341225 in words is "one hundred fourteen billion, two hundred twenty million, three hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 22531 67593 112655 202779 337965 563275 1013895 1689825 5069475 507645961 1522937883 2538229805 4568813649 7614689415 12691149025 22844068245 38073447075 114220341225