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214403112 = 23347114297
BaseRepresentation
bin11001100011110…
…00100000101000
3112221102210210000
430301320200220
5414341344422
633135223000
75212252650
oct1461704050
9487383700
10214403112
11100030260
125b977a60
133555b061
1420691360
1513c51cac
hexcc78828

214403112 has 160 divisors (see below), whose sum is σ = 748883520. Its totient is φ = 55676160.

The previous prime is 214403093. The next prime is 214403131. The reversal of 214403112 is 211304412.

214403112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214403093) and next prime (214403131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 47748 + ... + 52044.

It is an arithmetic number, because the mean of its divisors is an integer number (4680522).

Almost surely, 2214403112 is an apocalyptic number.

214403112 is a gapful number since it is divisible by the number (22) 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 214403112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374441760).

214403112 is an abundant number, since it is smaller than the sum of its proper divisors (534480408).

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

214403112 is a wasteful number, since it uses less digits than its factorization.

214403112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214403112 is about 14642.5104404948. The cubic root of 214403112 is about 598.5177411968.

Adding to 214403112 its reverse (211304412), we get a palindrome (425707524).

The spelling of 214403112 in words is "two hundred fourteen million, four hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4297 4536 5544 6237 7128 8316 8594 12474 12891 16632 17188 24948 25782 30079 34376 38673 47267 49896 51564 60158 77346 90237 94534 103128 116019 120316 141801 154692 180474 189068 232038 240632 270711 283602 309384 330869 348057 360948 378136 425403 464076 541422 567204 661738 696114 721896 812133 850806 928152 992607 1082844 1134408 1276209 1323476 1392228 1624266 1701612 1985214 2165688 2436399 2552418 2646952 2784456 2977821 3248532 3403224 3828627 3970428 4872798 5104836 5955642 6497064 7657254 7940856 8933463 9745596 10209672 11911284 15314508 17866926 19491192 23822568 26800389 30629016 35733852 53600778 71467704 107201556 214403112