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20144220 = 2235675011
BaseRepresentation
bin100110011011…
…0000001011100
31101220102200020
41030312001130
520124103340
61555432140
7333136335
oct114660134
941812606
1020144220
1110409718
1268b5650
134233c75
14296528c
151b7d9d0
hex133605c

20144220 has 48 divisors (see below), whose sum is σ = 57257088. Its totient is φ = 5290560.

The previous prime is 20144219. The next prime is 20144221. The reversal of 20144220 is 2244102.

20144220 = 332 + 342 + ... + 3922.

It is an interprime number because it is at equal distance from previous prime (20144219) and next prime (20144221).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20144220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144221) 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 15 ways as a sum of consecutive naturals, for example, 1515 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (1192856).

Almost surely, 220144220 is an apocalyptic number.

20144220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628544).

20144220 is an abundant number, since it is smaller than the sum of its proper divisors (37112868).

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

20144220 is a wasteful number, since it uses less digits than its factorization.

20144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20144220 is about 4488.2312774633. The cubic root of 20144220 is about 272.0926551410.

Adding to 20144220 its reverse (2244102), we get a palindrome (22388322).

The spelling of 20144220 in words is "twenty million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 5011 10022 15033 20044 25055 30066 50110 60132 75165 100220 150330 300660 335737 671474 1007211 1342948 1678685 2014422 3357370 4028844 5036055 6714740 10072110 20144220