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12274100 = 2252122741
BaseRepresentation
bin101110110100…
…100110110100
3212002120220022
4232310212310
511120232400
61115024312
7206220356
oct56644664
925076808
1012274100
116a23793
12413b098
1327099a7
1418b70d6
151126b85
hexbb49b4

12274100 has 18 divisors (see below), whose sum is σ = 26635014. Its totient is φ = 4909600.

The previous prime is 12274091. The next prime is 12274127. The reversal of 12274100 is 147221.

It can be written as a sum of positive squares in 3 ways, for example, as 2676496 + 9597604 = 1636^2 + 3098^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 61271 + ... + 61470.

It is an arithmetic number, because the mean of its divisors is an integer number (1479723).

Almost surely, 212274100 is an apocalyptic number.

12274100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12274100 is an abundant number, since it is smaller than the sum of its proper divisors (14360914).

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

12274100 is a wasteful number, since it uses less digits than its factorization.

12274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122755 (or 122748 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 12274100 is about 3503.4411654829. The cubic root of 12274100 is about 230.6728877039.

The spelling of 12274100 in words is "twelve million, two hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122741 245482 490964 613705 1227410 2454820 3068525 6137050 12274100