[go: up one dir, main page]

Search a number
-
+
3312225 = 33527701
BaseRepresentation
bin1100101000101001100001
320020021112000
430220221201
51321442400
6154554213
740103430
oct14505141
96207460
103312225
111962584
121138969
138bc7c7
14623117
15456600
hex328a61

3312225 has 48 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 1512000.

The previous prime is 3312217. The next prime is 3312227. The reversal of 3312225 is 5222133.

It is not a de Polignac number, because 3312225 - 23 = 3312217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3312198 and 3312207.

It is not an unprimeable number, because it can be changed into a prime (3312227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4375 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 23312225 is an apocalyptic number.

3312225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3312225 is an abundant number, since it is smaller than the sum of its proper divisors (3651615).

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

3312225 is a wasteful number, since it uses less digits than its factorization.

3312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

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

The square root of 3312225 is about 1819.9519224419. The cubic root of 3312225 is about 149.0641736690.

Adding to 3312225 its reverse (5222133), we get a palindrome (8534358).

It can be divided in two parts, 331 and 2225, that added together give a triangular number (2556 = T71).

The spelling of 3312225 in words is "three million, three hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 701 945 1575 2103 3505 4725 4907 6309 10515 14721 17525 18927 24535 31545 44163 52575 73605 94635 122675 132489 157725 220815 368025 473175 662445 1104075 3312225