Search a number
-
+
214110312 = 233132329837
BaseRepresentation
bin11001100001100…
…01000001101000
3112220212221010120
430300301001220
5414303012222
633125043240
75206623213
oct1460610150
9486787116
10214110312
11aa950279
125b856520
13354879c0
142061677a
1513be515c
hexcc31068

214110312 has 64 divisors (see below), whose sum is σ = 601534080. Its totient is φ = 63013632.

The previous prime is 214110307. The next prime is 214110319. The reversal of 214110312 is 213011412.

It is a junction number, because it is equal to n+sod(n) for n = 214110291 and 214110300.

It is not an unprimeable number, because it can be changed into a prime (214110319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7743 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (9398970).

Almost surely, 2214110312 is an apocalyptic number.

It is an amenable number.

214110312 is an abundant number, since it is smaller than the sum of its proper divisors (387423768).

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

214110312 is a wasteful number, since it uses less digits than its factorization.

214110312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29882 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 214110312 is about 14632.5087391055. The cubic root of 214110312 is about 598.2451614621.

Adding to 214110312 its reverse (213011412), we get a palindrome (427121724).

The spelling of 214110312 in words is "two hundred fourteen million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 29837 59674 89511 119348 179022 238696 358044 387881 686251 716088 775762 1163643 1372502 1551524 2058753 2327286 2745004 3103048 4117506 4654572 5490008 8235012 8921263 9309144 16470024 17842526 26763789 35685052 53527578 71370104 107055156 214110312