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12272190 = 235758439
BaseRepresentation
bin101110110100…
…001000111110
3212002111021120
4232310020332
511120202230
61115011410
7206211660
oct56641076
925074246
1012272190
116a22307
124139b66
132708b68
1418b6530
151126310
hexbb423e

12272190 has 32 divisors (see below), whose sum is σ = 33661440. Its totient is φ = 2805024.

The previous prime is 12272167. The next prime is 12272231. The reversal of 12272190 is 9127221.

It is a super-3 number, since 3×122721903 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12272190.

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 15 ways as a sum of consecutive naturals, for example, 29010 + ... + 29429.

It is an arithmetic number, because the mean of its divisors is an integer number (1051920).

Almost surely, 212272190 is an apocalyptic number.

12272190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12272190 is an abundant number, since it is smaller than the sum of its proper divisors (21389250).

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

12272190 is a wasteful number, since it uses less digits than its factorization.

12272190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58456.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12272190 is about 3503.1685657416. The cubic root of 12272190 is about 230.6609219095.

The spelling of 12272190 in words is "twelve million, two hundred seventy-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 58439 116878 175317 292195 350634 409073 584390 818146 876585 1227219 1753170 2045365 2454438 4090730 6136095 12272190