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214000215 = 35111399767
BaseRepresentation
bin11001100000101…
…10001001010111
3112220200100002220
430300112021113
5414241001330
633122433423
75205654222
oct1460261127
9486610086
10214000215
11aa885590
125b802873
1335449860
14205c85b9
1513bc2710
hexcc16257

214000215 has 32 divisors (see below), whose sum is σ = 402264576. Its totient is φ = 95775360.

The previous prime is 214000201. The next prime is 214000217. The reversal of 214000215 is 512000412.

It is not a de Polignac number, because 214000215 - 28 = 213999959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 214000194 and 214000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47739 + ... + 52028.

It is an arithmetic number, because the mean of its divisors is an integer number (12570768).

Almost surely, 2214000215 is an apocalyptic number.

214000215 is a deficient number, since it is larger than the sum of its proper divisors (188264361).

214000215 is a wasteful number, since it uses less digits than its factorization.

214000215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99799.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 214000215 is about 14628.7461868747. The cubic root of 214000215 is about 598.1426032845.

Adding to 214000215 its reverse (512000412), we get a palindrome (726000627).

The spelling of 214000215 in words is "two hundred fourteen million, two hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 429 715 2145 99767 299301 498835 1097437 1296971 1496505 3292311 3890913 5487185 6484855 14266681 16461555 19454565 42800043 71333405 214000215