Search a number
-
+
4131225 = 325274361
BaseRepresentation
bin1111110000100110011001
321202212222100
433300212121
52024144400
6224314013
750054250
oct17604631
97685870
104131225
11237193a
121472909
13b18517
14797797
15569100
hex3f0999

4131225 has 72 divisors (see below), whose sum is σ = 8795072. Its totient is φ = 1814400.

The previous prime is 4131223. The next prime is 4131229. The reversal of 4131225 is 5221314.

4131225 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 4131225 - 21 = 4131223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4131198 and 4131207.

It is not an unprimeable number, because it can be changed into a prime (4131223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67695 + ... + 67755.

Almost surely, 24131225 is an apocalyptic number.

4131225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4131225 is an abundant number, since it is smaller than the sum of its proper divisors (4663847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131225 is a wasteful number, since it uses less digits than its factorization.

4131225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4131225 is about 2032.5415124912. The cubic root of 4131225 is about 160.4573503004.

Adding to 4131225 its reverse (5221314), we get a palindrome (9352539).

It can be divided in two parts, 4131 and 225, that added together give a square (4356 = 662).

The spelling of 4131225 in words is "four million, one hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 61 63 75 105 129 175 183 215 225 301 305 315 387 427 525 549 645 903 915 1075 1281 1505 1525 1575 1935 2135 2623 2709 2745 3225 3843 4515 4575 6405 7525 7869 9675 10675 13115 13545 13725 18361 19215 22575 23607 32025 39345 55083 65575 67725 91805 96075 118035 165249 196725 275415 459025 590175 826245 1377075 4131225