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12211984 = 2417219139
BaseRepresentation
bin101110100101…
…011100010000
3211222102200201
4232211130100
511111240414
61113424544
7205541311
oct56453420
924872621
1012211984
116991054
12410b154
1326b7635
14189c608
151113574
hexba5710

12211984 has 60 divisors (see below), whose sum is σ = 26647600. Its totient is φ = 5405184.

The previous prime is 12211981. The next prime is 12212021. The reversal of 12211984 is 48911221.

It is not an unprimeable number, because it can be changed into a prime (12211981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87787 + ... + 87925.

Almost surely, 212211984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323800).

12211984 is an abundant number, since it is smaller than the sum of its proper divisors (14435616).

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

12211984 is a wasteful number, since it uses less digits than its factorization.

12211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 12211984 is about 3494.5649228481. The cubic root of 12211984 is about 230.2831044430.

The spelling of 12211984 in words is "twelve million, two hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 139 152 272 278 289 304 323 556 578 646 1112 1156 1292 2224 2312 2363 2584 2641 4624 4726 5168 5282 5491 9452 10564 10982 18904 21128 21964 37808 40171 42256 43928 44897 80342 87856 89794 160684 179588 321368 359176 642736 718352 763249 1526498 3052996 6105992 12211984