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12332190 = 23513103307
BaseRepresentation
bin101111000010…
…110010011110
3212012112120210
4233002302132
511124112230
61120153250
7206551623
oct57026236
925175523
1012332190
116a633a2
124168826
13272a270
1418d034a
151138eb0
hexbc2c9e

12332190 has 64 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 2996352.

The previous prime is 12332183. The next prime is 12332213. The reversal of 12332190 is 9123321.

It is a happy number.

It is a super-2 number, since 2×123321902 = 304165820392200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 40017 + ... + 40323.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 212332190 is an apocalyptic number.

12332190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

12332190 is an abundant number, since it is smaller than the sum of its proper divisors (19956066).

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

12332190 is a wasteful number, since it uses less digits than its factorization.

12332190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12332190 is about 3511.7217999152. The cubic root of 12332190 is about 231.0362192791.

The spelling of 12332190 in words is "twelve million, three hundred thirty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 307 309 390 515 614 618 921 1030 1339 1535 1545 1842 2678 3070 3090 3991 4017 4605 6695 7982 8034 9210 11973 13390 19955 20085 23946 31621 39910 40170 59865 63242 94863 119730 158105 189726 316210 411073 474315 822146 948630 1233219 2055365 2466438 4110730 6166095 12332190