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12214160 = 2457171283
BaseRepresentation
bin101110100101…
…111110010000
3211222112200022
4232211332100
511111323120
61113443012
7205550540
oct56457620
924875608
1012214160
116992752
124110468
1326b861a
14189d320
151114025
hexba5f90

12214160 has 80 divisors (see below), whose sum is σ = 34390656. Its totient is φ = 3938304.

The previous prime is 12214159. The next prime is 12214171. The reversal of 12214160 is 6141221.

12214160 = T308 + T309 + ... + T467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 8879 + ... + 10161.

Almost surely, 212214160 is an apocalyptic number.

12214160 is a gapful number since it is divisible by the number (10) 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 12214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195328).

12214160 is an abundant number, since it is smaller than the sum of its proper divisors (22176496).

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

12214160 is a wasteful number, since it uses less digits than its factorization.

12214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12214160 is about 3494.8762495974. The cubic root of 12214160 is about 230.2967813436.

Adding to 12214160 its reverse (6141221), we get a palindrome (18355381).

The spelling of 12214160 in words is "twelve million, two hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1283 1360 1904 2380 2566 4760 5132 6415 8981 9520 10264 12830 17962 20528 21811 25660 35924 43622 44905 51320 71848 87244 89810 102640 109055 143696 152677 174488 179620 218110 305354 348976 359240 436220 610708 718480 763385 872440 1221416 1526770 1744880 2442832 3053540 6107080 12214160