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214327806 = 237111729941
BaseRepresentation
bin11001100011001…
…10000111111110
3112221021222110220
430301212013332
5414331442211
633133442210
75211520260
oct1461460776
9487258426
10214327806
11aaa89720
125b940366
13355329b4
1420671b30
1513c39806
hexcc661fe

214327806 has 128 divisors (see below), whose sum is σ = 585999360. Its totient is φ = 50534400.

The previous prime is 214327783. The next prime is 214327811. The reversal of 214327806 is 608723412.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227296 + ... + 228236.

It is an arithmetic number, because the mean of its divisors is an integer number (4578120).

Almost surely, 2214327806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214327806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292999680).

214327806 is an abundant number, since it is smaller than the sum of its proper divisors (371671554).

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

214327806 is a wasteful number, since it uses less digits than its factorization.

214327806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 214327806 is about 14639.9387293800. The cubic root of 214327806 is about 598.4476594171.

The spelling of 214327806 in words is "two hundred fourteen million, three hundred twenty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 11 14 17 21 22 29 33 34 42 51 58 66 77 87 102 119 154 174 187 203 231 238 319 357 374 406 462 493 561 609 638 714 941 957 986 1122 1218 1309 1479 1882 1914 2233 2618 2823 2958 3451 3927 4466 5423 5646 6587 6699 6902 7854 10351 10353 10846 13174 13398 15997 16269 19761 20702 20706 27289 31053 31994 32538 37961 39522 47991 54578 62106 72457 75922 81867 95982 111979 113883 144914 163734 175967 191023 217371 223958 227766 300179 335937 351934 382046 434742 463913 527901 573069 600358 671874 900537 927826 1055802 1146138 1231769 1391739 1801074 2101253 2463538 2783478 3247391 3695307 4202506 5103043 6303759 6494782 7390614 9742173 10206086 12607518 15309129 19484346 30618258 35721301 71442602 107163903 214327806