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12226200 = 2335274171
BaseRepresentation
bin101110101000…
…111010011000
3212000011012020
4232220322120
511112214300
61114014440
7205630620
oct56507230
925004166
1012226200
1169a07a8
124117420
1326c0c4c
1418a3880
1511178a0
hexba8e98

12226200 has 192 divisors, whose sum is σ = 44997120. Its totient is φ = 2688000.

The previous prime is 12226187. The next prime is 12226217. The reversal of 12226200 is 262221.

12226200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12226200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172165 + ... + 172235.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 212226200 is an apocalyptic number.

12226200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12226200 is an abundant number, since it is smaller than the sum of its proper divisors (32770920).

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

12226200 is a wasteful number, since it uses less digits than its factorization.

12226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12226200 is about 3496.5983469652. The cubic root of 12226200 is about 230.3724274971.

Adding to 12226200 its reverse (262221), we get a palindrome (12488421).

The spelling of 12226200 in words is "twelve million, two hundred twenty-six thousand, two hundred".