Search a number
-
+
122220117225 = 32521825729753
BaseRepresentation
bin111000111010011100…
…0101111110011101001
3102200110201201020210100
41301310320233303221
54000301322222400
6132051441140013
711554504566243
oct1616470576351
9380421636710
10122220117225
1147919085048
121b82b32a609
13b6aa1405bb
145cb613d093
1532a4d48100
hex1c74e2fce9

122220117225 has 36 divisors (see below), whose sum is σ = 218929158396. Its totient is φ = 65178301440.

The previous prime is 122220117223. The next prime is 122220117263. The reversal of 122220117225 is 522711022221.

122220117225 is a `hidden beast` number, since 1 + 222 + 201 + 17 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 679332096 + 121540785129 = 26064^2 + 348627^2 .

It is not a de Polignac number, because 122220117225 - 21 = 122220117223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122220117223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4092949 + ... + 4122701.

It is an arithmetic number, because the mean of its divisors is an integer number (6081365511).

Almost surely, 2122220117225 is an apocalyptic number.

122220117225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122220117225 is a deficient number, since it is larger than the sum of its proper divisors (96709041171).

122220117225 is a wasteful number, since it uses less digits than its factorization.

122220117225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48026 (or 48018 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 122220117225 its reverse (522711022221), we get a palindrome (644931139446).

The spelling of 122220117225 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 18257 29753 54771 89259 91285 148765 164313 267777 273855 446295 456425 743825 821565 1338885 1369275 2231475 4107825 6694425 543200521 1629601563 2716002605 4888804689 8148007815 13580013025 24444023445 40740039075 122220117225