Search a number
-
+
2257125 = 35313463
BaseRepresentation
bin1000100111000011100101
311020200012020
420213003211
51034212000
6120213353
725120353
oct10470345
94220166
102257125
1113018a2
1290a259
136104a0
1442a7d3
152e8ba0
hex2270e5

2257125 has 32 divisors (see below), whose sum is σ = 4053504. Its totient is φ = 1108800.

The previous prime is 2257121. The next prime is 2257139. The reversal of 2257125 is 5217522.

It is not a de Polignac number, because 2257125 - 22 = 2257121 is a prime.

It is a super-2 number, since 2×22571252 = 10189226531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2257095 and 2257104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4644 + ... + 5106.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

22257125 is an apocalyptic number.

2257125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2257125 is a deficient number, since it is larger than the sum of its proper divisors (1796379).

2257125 is a wasteful number, since it uses less digits than its factorization.

2257125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 2257125 is about 1502.3731227628. The cubic root of 2257125 is about 131.1752408725.

The spelling of 2257125 in words is "two million, two hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 463 975 1389 1625 2315 4875 6019 6945 11575 18057 30095 34725 57875 90285 150475 173625 451425 752375 2257125