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20004228 = 22324113553
BaseRepresentation
bin100110001001…
…1110110000100
31101122022122100
41030103312010
520110113403
61552432100
7332014236
oct114236604
941568570
1020004228
1110323522
126848630
1341b532a
14292a256
151b522a3
hex1313d84

20004228 has 36 divisors (see below), whose sum is σ = 51803388. Its totient is φ = 6504960.

The previous prime is 20004221. The next prime is 20004233. The reversal of 20004228 is 82240002.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 12616704 = 2718^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20004228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004221) 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 11 ways as a sum of consecutive naturals, for example, 5301 + ... + 8252.

It is an arithmetic number, because the mean of its divisors is an integer number (1438983).

Almost surely, 220004228 is an apocalyptic number.

It is an amenable number.

20004228 is an abundant number, since it is smaller than the sum of its proper divisors (31799160).

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

20004228 is a wasteful number, since it uses less digits than its factorization.

20004228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 13599 counting only the distinct ones).

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

The square root of 20004228 is about 4472.6086347902. The cubic root of 20004228 is about 271.4608879079.

The spelling of 20004228 in words is "twenty million, four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 13553 27106 40659 54212 81318 121977 162636 243954 487908 555673 1111346 1667019 2222692 3334038 5001057 6668076 10002114 20004228