Search a number
-
+
2313225 = 335223149
BaseRepresentation
bin1000110100110000001001
311100112011000
420310300021
51043010400
6121325213
725443045
oct10646011
94315130
102313225
11133aa62
12936809
1362cb95
14443025
1530a600
hex234c09

2313225 has 48 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 1172160.

The previous prime is 2313211. The next prime is 2313239. The reversal of 2313225 is 5223132.

It is an interprime number because it is at equal distance from previous prime (2313211) and next prime (2313239).

It is not a de Polignac number, because 2313225 - 26 = 2313161 is a prime.

Its product of digits (360) is a multiple of the sum of its prime divisors (180).

2313225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2313198 and 2313207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15451 + ... + 15599.

It is an arithmetic number, because the mean of its divisors is an integer number (93000).

22313225 is an apocalyptic number.

2313225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2313225 is the 1242-nd pentagonal number.

It is an amenable number.

2313225 is a deficient number, since it is larger than the sum of its proper divisors (2150775).

2313225 is a wasteful number, since it uses less digits than its factorization.

2313225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2313225 is about 1520.9289924254. The cubic root of 2313225 is about 132.2531299772.

Adding to 2313225 its reverse (5223132), we get a palindrome (7536357).

The spelling of 2313225 in words is "two million, three hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 149 207 225 345 447 575 621 675 745 1035 1341 1725 2235 3105 3427 3725 4023 5175 6705 10281 11175 15525 17135 20115 30843 33525 51405 85675 92529 100575 154215 257025 462645 771075 2313225