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12198016 = 27233409
BaseRepresentation
bin101110100010…
…000010000000
3211221201112101
4232202002000
511110314031
61113240144
7205452505
oct56420200
924851471
1012198016
116981606
124103054
1326b117c
1418974ac
15110e361
hexba2080

12198016 has 32 divisors (see below), whose sum is σ = 24464700. Its totient is φ = 6057984.

The previous prime is 12198007. The next prime is 12198023. The reversal of 12198016 is 61089121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 87616 = 3480^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29620 + ... + 30028.

Almost surely, 212198016 is an apocalyptic number.

12198016 is a gapful number since it is divisible by the number (16) 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 12198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232350).

12198016 is an abundant number, since it is smaller than the sum of its proper divisors (12266684).

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

12198016 is an equidigital number, since it uses as much as digits as its factorization.

12198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 12198016 is about 3492.5658189933. The cubic root of 12198016 is about 230.1952720985.

The spelling of 12198016 in words is "twelve million, one hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 233 409 466 818 932 1636 1864 3272 3728 6544 7456 13088 14912 26176 29824 52352 95297 190594 381188 762376 1524752 3049504 6099008 12198016