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2314125 = 325311217
BaseRepresentation
bin1000110100111110001101
311100120101100
420310332031
51043023000
6121333313
725445502
oct10647615
94316340
102314125
111340700
12937239
13630408
144434a9
1530aa00
hex234f8d

2314125 has 72 divisors (see below), whose sum is σ = 4855032. Its totient is φ = 1056000.

The previous prime is 2314121. The next prime is 2314133. The reversal of 2314125 is 5214132.

It can be written as a sum of positive squares in 4 ways, for example, as 9801 + 2304324 = 99^2 + 1518^2 .

It is not a de Polignac number, because 2314125 - 22 = 2314121 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (240) is a multiple of the sum of its prime factors (60).

It is a junction number, because it is equal to n+sod(n) for n = 2314098 and 2314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314121) 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, 136117 + ... + 136133.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

22314125 is an apocalyptic number.

2314125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2314125 is an abundant number, since it is smaller than the sum of its proper divisors (2540907).

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

2314125 is a wasteful number, since it uses less digits than its factorization.

2314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

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

The square root of 2314125 is about 1521.2248354533. The cubic root of 2314125 is about 132.2702795387.

Adding to 2314125 its reverse (5214132), we get a palindrome (7528257).

It can be divided in two parts, 231 and 4125, that added together give a square (4356 = 662).

The spelling of 2314125 in words is "two million, three hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 125 153 165 187 225 255 275 363 375 425 495 561 605 765 825 935 1089 1125 1275 1375 1683 1815 2057 2125 2475 2805 3025 3825 4125 4675 5445 6171 6375 8415 9075 10285 12375 14025 15125 18513 19125 23375 27225 30855 42075 45375 51425 70125 92565 136125 154275 210375 257125 462825 771375 2314125