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20162214 = 23223311571
BaseRepresentation
bin100110011101…
…0011010100110
31101221100100200
41030322122212
520130142324
62000051330
7333242652
oct114723246
941840320
1020162214
1110421196
126903b46
13423c207
14296ba62
151b83ec9
hex133a6a6

20162214 has 48 divisors (see below), whose sum is σ = 47084544. Its totient is φ = 6217200.

The previous prime is 20162213. The next prime is 20162231. The reversal of 20162214 is 41226102.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20162213) 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 23 ways as a sum of consecutive naturals, for example, 12049 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (980928).

Almost surely, 220162214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20162214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23542272).

20162214 is an abundant number, since it is smaller than the sum of its proper divisors (26922330).

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

20162214 is a wasteful number, since it uses less digits than its factorization.

20162214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1630 counting only the distinct ones).

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

The square root of 20162214 is about 4490.2354058557. The cubic root of 20162214 is about 272.1736474083.

Adding to 20162214 its reverse (41226102), we get a palindrome (61388316).

The spelling of 20162214 in words is "twenty million, one hundred sixty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 1571 2139 3142 4278 4713 6417 9426 12834 14139 28278 36133 48701 72266 97402 108399 146103 216798 292206 325197 438309 650394 876618 1120123 2240246 3360369 6720738 10081107 20162214