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12198816 = 253372017
BaseRepresentation
bin101110100010…
…001110100000
3211221202122000
4232202032200
511110330231
61113244000
7205455030
oct56421640
924852560
1012198816
116982173
124103600
1326b1646
1418978c0
15110e6e6
hexba23a0

12198816 has 96 divisors (see below), whose sum is σ = 40682880. Its totient is φ = 3483648.

The previous prime is 12198793. The next prime is 12198827. The reversal of 12198816 is 61889121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121988162 = 297622223603712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5040 + ... + 7056.

It is an arithmetic number, because the mean of its divisors is an integer number (423780).

Almost surely, 212198816 is an apocalyptic number.

12198816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341440).

12198816 is an abundant number, since it is smaller than the sum of its proper divisors (28484064).

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

12198816 is a wasteful number, since it uses less digits than its factorization.

12198816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2029 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 12198816 is about 3492.6803460952. The cubic root of 12198816 is about 230.2003043975.

The spelling of 12198816 in words is "twelve million, one hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 2017 3024 4034 6048 6051 8068 12102 14119 16136 18153 24204 28238 32272 36306 42357 48408 54459 56476 64544 72612 84714 96816 108918 112952 127071 145224 169428 193632 217836 225904 254142 290448 338856 381213 435672 451808 508284 580896 677712 762426 871344 1016568 1355424 1524852 1742688 2033136 3049704 4066272 6099408 12198816