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4228164 = 2232257457
BaseRepresentation
bin10000001000010001000100
321221210221200
4100020101010
52040300124
6230342500
750640003
oct20102104
97853850
104228164
112428756
1214baa30
13b50695
147c0c3a
15587bc9
hex408444

4228164 has 36 divisors (see below), whose sum is σ = 10752924. Its totient is φ = 1400832.

The previous prime is 4228157. The next prime is 4228177. The reversal of 4228164 is 4618224.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 260100 = 1992^2 + 510^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9024 + ... + 9480.

Almost surely, 24228164 is an apocalyptic number.

It is an amenable number.

4228164 is an abundant number, since it is smaller than the sum of its proper divisors (6524760).

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

4228164 is a wasteful number, since it uses less digits than its factorization.

4228164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4228164 is about 2056.2499848024. The cubic root of 4228164 is about 161.7027011939.

The spelling of 4228164 in words is "four million, two hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 257 457 514 771 914 1028 1371 1542 1828 2313 2742 3084 4113 4626 5484 8226 9252 16452 117449 234898 352347 469796 704694 1057041 1409388 2114082 4228164