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3123225 = 33527661
BaseRepresentation
bin1011111010100000011001
312212200021000
423322200121
51244420400
6150535213
735355420
oct13724031
95780230
103123225
111843586
121067509
13854781
145b42b7
1541a600
hex2fa819

3123225 has 48 divisors (see below), whose sum is σ = 6567040. Its totient is φ = 1425600.

The previous prime is 3123221. The next prime is 3123227. The reversal of 3123225 is 5223213.

3123225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3123225 - 22 = 3123221 is a prime.

3123225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3123198 and 3123207.

It is not an unprimeable number, because it can be changed into a prime (3123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4395 + ... + 5055.

Almost surely, 23123225 is an apocalyptic number.

3123225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3123225 is the 945-th nonagonal number.

It is an amenable number.

3123225 is an abundant number, since it is smaller than the sum of its proper divisors (3443815).

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

3123225 is a wasteful number, since it uses less digits than its factorization.

3123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

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

The square root of 3123225 is about 1767.2648358410. The cubic root of 3123225 is about 146.1732009669.

Adding to 3123225 its reverse (5223213), we get a palindrome (8346438).

The spelling of 3123225 in words is "three million, one hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 661 675 945 1575 1983 3305 4627 4725 5949 9915 13881 16525 17847 23135 29745 41643 49575 69405 89235 115675 124929 148725 208215 347025 446175 624645 1041075 3123225