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12214272 = 2133771
BaseRepresentation
bin101110100110…
…000000000000
3211222112211110
4232212000000
511111324042
61113443320
7205551060
oct56460000
924875743
1012214272
116992844
124110540
1326b86a5
14189d3a0
15111409c
hexba6000

12214272 has 112 divisors (see below), whose sum is σ = 37746432. Its totient is φ = 3440640.

The previous prime is 12214243. The next prime is 12214273. The reversal of 12214272 is 27241221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171997 + ... + 172067.

Almost surely, 212214272 is an apocalyptic number.

12214272 is a gapful number since it is divisible by the number (12) 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 12214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873216).

12214272 is an abundant number, since it is smaller than the sum of its proper divisors (25532160).

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

12214272 is an frugal number, since it uses more digits than its factorization.

12214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 12214272 is about 3494.8922730179. The cubic root of 12214272 is about 230.2974852578.

Adding to 12214272 its reverse (27241221), we get a palindrome (39455493).

The spelling of 12214272 in words is "twelve million, two hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 128 142 168 192 213 224 256 284 336 384 426 448 497 512 568 672 768 852 896 994 1024 1136 1344 1491 1536 1704 1792 1988 2048 2272 2688 2982 3072 3408 3584 3976 4096 4544 5376 5964 6144 6816 7168 7952 8192 9088 10752 11928 12288 13632 14336 15904 18176 21504 23856 24576 27264 28672 31808 36352 43008 47712 54528 57344 63616 72704 86016 95424 109056 127232 145408 172032 190848 218112 254464 290816 381696 436224 508928 581632 763392 872448 1017856 1526784 1744896 2035712 3053568 4071424 6107136 12214272