Search a number
-
+
12225906 = 2327118821
BaseRepresentation
bin101110101000…
…110101110010
3212000010210100
4232220311302
511112212111
61114013230
7205630020
oct56506562
925003710
1012225906
1169a0560
124117216
1326c0a84
1418a3710
151117756
hexba8d72

12225906 has 48 divisors (see below), whose sum is σ = 33029568. Its totient is φ = 3175200.

The previous prime is 12225901. The next prime is 12225919. The reversal of 12225906 is 60952221.

It is a self number, because there is not a number n which added to its sum of digits gives 12225906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225901) 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 23 ways as a sum of consecutive naturals, for example, 3025 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (688116).

Almost surely, 212225906 is an apocalyptic number.

12225906 is an abundant number, since it is smaller than the sum of its proper divisors (20803662).

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

12225906 is a wasteful number, since it uses less digits than its factorization.

12225906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12225906 is about 3496.5563058529. The cubic root of 12225906 is about 230.3705809153.

It can be divided in two parts, 12225 and 906, that added together give a palindrome (13131).

The spelling of 12225906 in words is "twelve million, two hundred twenty-five thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 8821 17642 26463 52926 61747 79389 97031 123494 158778 185241 194062 291093 370482 555723 582186 679217 873279 1111446 1358434 1746558 2037651 4075302 6112953 12225906