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12293190 = 23257131979
BaseRepresentation
bin101110111001…
…010001000110
3212010120002100
4232321101012
511121340230
61115252530
7206330130
oct56712106
925116070
1012293190
116a37068
12414a146
1327155a0
1418c0050
15112c660
hexbb9446

12293190 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 2426112.

The previous prime is 12293189. The next prime is 12293221. The reversal of 12293190 is 9139221.

12293190 = T69 + T70 + ... + T419.

12293190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122931903 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155571 + ... + 155649.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 212293190 is an apocalyptic number.

12293190 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 12293190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12293190 is an abundant number, since it is smaller than the sum of its proper divisors (29639610).

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

12293190 is a wasteful number, since it uses less digits than its factorization.

12293190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12293190 is about 3506.1645711518. The cubic root of 12293190 is about 230.7924148502.

The spelling of 12293190 in words is "twelve million, two hundred ninety-three thousand, one hundred ninety".