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12221825 = 527211907
BaseRepresentation
bin101110100111…
…110110000001
3211222221012012
4232213312001
511112044300
61113542305
7205612100
oct56476601
924887165
1012221825
116998490
124114995
1326bbc65
1418a2037
151116435
hexba7d81

12221825 has 36 divisors (see below), whose sum is σ = 19253232. Its totient is φ = 7610400.

The previous prime is 12221821. The next prime is 12221837. The reversal of 12221825 is 52812221.

It is not a de Polignac number, because 12221825 - 22 = 12221821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221825.

It is not an unprimeable number, because it can be changed into a prime (12221821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13022 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (534812).

Almost surely, 212221825 is an apocalyptic number.

It is an amenable number.

12221825 is a deficient number, since it is larger than the sum of its proper divisors (7031407).

12221825 is a wasteful number, since it uses less digits than its factorization.

12221825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 930 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 12221825 is about 3495.9726829596. The cubic root of 12221825 is about 230.3449455427.

The spelling of 12221825 in words is "twelve million, two hundred twenty-one thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 175 245 275 385 539 907 1225 1925 2695 4535 6349 9977 13475 22675 31745 44443 49885 69839 158725 222215 249425 349195 488873 1111075 1745975 2444365 12221825