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12205998 = 23373659
BaseRepresentation
bin101110100011…
…111110101110
3211222010111000
4232203332232
511111042443
61113341130
7205515000
oct56437656
924863430
1012205998
116987602
1241077a6
1326b49ac
14189a370
1511118d3
hexba3fae

12205998 has 64 divisors (see below), whose sum is σ = 31680000. Its totient is φ = 3482136.

The previous prime is 12205981. The next prime is 12206021. The reversal of 12205998 is 89950221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18193 + ... + 18851.

It is an arithmetic number, because the mean of its divisors is an integer number (495000).

Almost surely, 212205998 is an apocalyptic number.

12205998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840000).

12205998 is an abundant number, since it is smaller than the sum of its proper divisors (19474002).

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

12205998 is an equidigital number, since it uses as much as digits as its factorization.

12205998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12205998 is about 3493.7083450111. The cubic root of 12205998 is about 230.2454720115.

It can be divided in two parts, 12205 and 998, that added together give a triangular number (13203 = T162).

The spelling of 12205998 in words is "twelve million, two hundred five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 659 686 882 1029 1318 1323 1977 2058 2646 3087 3954 4613 5931 6174 9226 9261 11862 13839 17793 18522 27678 32291 35586 41517 64582 83034 96873 124551 193746 226037 249102 290619 452074 581238 678111 871857 1356222 1743714 2034333 4068666 6102999 12205998