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20144214 = 235181229
BaseRepresentation
bin100110011011…
…0000001010110
31101220102200000
41030312001112
520124103324
61555432130
7333136326
oct114660126
941812600
1020144214
1110409712
1268b5646
134233c6c
142965286
151b7d9c9
hex1336056

20144214 has 48 divisors (see below), whose sum is σ = 45711120. Its totient is φ = 6648480.

The previous prime is 20144209. The next prime is 20144219. The reversal of 20144214 is 41244102.

It is an interprime number because it is at equal distance from previous prime (20144209) and next prime (20144219).

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 (20144219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87852 + ... + 88080.

It is an arithmetic number, because the mean of its divisors is an integer number (952315).

Almost surely, 220144214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855560).

20144214 is an abundant number, since it is smaller than the sum of its proper divisors (25566906).

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

20144214 is a wasteful number, since it uses less digits than its factorization.

20144214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20144214 is about 4488.2306090485. The cubic root of 20144214 is about 272.0926281266.

Adding to 20144214 its reverse (41244102), we get a palindrome (61388316).

The spelling of 20144214 in words is "twenty million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 229 243 362 458 486 543 687 1086 1374 1629 2061 3258 4122 4887 6183 9774 12366 14661 18549 29322 37098 41449 43983 55647 82898 87966 111294 124347 248694 373041 746082 1119123 2238246 3357369 6714738 10072107 20144214