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214111212 = 223714917107
BaseRepresentation
bin11001100001100…
…01001111101100
3112220212222100220
430300301033230
5414303024322
633125051340
75206625640
oct1460611754
9486788326
10214111212
11aa950a17
125b856b50
1335488233
1420616c20
1513be555c
hexcc313ec

214111212 has 48 divisors (see below), whose sum is σ = 574828800. Its totient is φ = 60760512.

The previous prime is 214111189. The next prime is 214111217. The reversal of 214111212 is 212111412.

214111212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141112122 = 91687222208217888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214111191 and 214111200.

It is not an unprimeable number, because it can be changed into a prime (214111217) 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, 3963 + ... + 21069.

It is an arithmetic number, because the mean of its divisors is an integer number (11975600).

Almost surely, 2214111212 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 214111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287414400).

214111212 is an abundant number, since it is smaller than the sum of its proper divisors (360717588).

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

214111212 is a wasteful number, since it uses less digits than its factorization.

214111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17270 (or 17268 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 214111212 is about 14632.5394925146. The cubic root of 214111212 is about 598.2459996902.

Adding to 214111212 its reverse (212111412), we get a palindrome (426222624).

The spelling of 214111212 in words is "two hundred fourteen million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 17107 34214 51321 68428 102642 119749 205284 239498 359247 478996 718494 1436988 2548943 5097886 7646829 10195772 15293658 17842601 30587316 35685202 53527803 71370404 107055606 214111212