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12226188 = 22313181433
BaseRepresentation
bin101110101000…
…111010001100
3212000011011210
4232220322030
511112214223
61114014420
7205630602
oct56507214
925004153
1012226188
1169a0797
124117410
1326c0c40
1418a3872
151117893
hexba8e8c

12226188 has 48 divisors (see below), whose sum is σ = 30963296. Its totient is φ = 3732480.

The previous prime is 12226187. The next prime is 12226217. The reversal of 12226188 is 88162221.

12226188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122261882 = 298959346022688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12226187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28020 + ... + 28452.

Almost surely, 212226188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481648).

12226188 is an abundant number, since it is smaller than the sum of its proper divisors (18737108).

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

12226188 is a wasteful number, since it uses less digits than its factorization.

12226188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 12226188 is about 3496.5966310114. The cubic root of 12226188 is about 230.3723521270.

The spelling of 12226188 in words is "twelve million, two hundred twenty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 433 543 724 866 1086 1299 1732 2172 2353 2598 4706 5196 5629 7059 9412 11258 14118 16887 22516 28236 33774 67548 78373 156746 235119 313492 470238 940476 1018849 2037698 3056547 4075396 6113094 12226188