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20208444 = 22317235973
BaseRepresentation
bin100110100010…
…1101100111100
31102000200202220
41031011230330
520133132234
62001045340
7333524514
oct115055474
942020686
1020208444
11104529a3
126926850
134257279
142980844
151b92a49
hex1345b3c

20208444 has 96 divisors (see below), whose sum is σ = 53706240. Its totient is φ = 5879808.

The previous prime is 20208443. The next prime is 20208499. The reversal of 20208444 is 44480202.

It is a super-2 number, since 2×202084442 = 816762417802272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20208443) 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 31 ways as a sum of consecutive naturals, for example, 276792 + ... + 276864.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 220208444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20208444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853120).

20208444 is an abundant number, since it is smaller than the sum of its proper divisors (33497796).

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

20208444 is a wasteful number, since it uses less digits than its factorization.

20208444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20208444 is about 4495.3802953699. The cubic root of 20208444 is about 272.3815112052.

Adding to 20208444 its reverse (44480202), we get a palindrome (64688646).

The spelling of 20208444 in words is "twenty million, two hundred eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 59 68 69 73 92 102 118 138 146 177 204 219 236 276 292 354 391 438 708 782 876 1003 1173 1241 1357 1564 1679 2006 2346 2482 2714 3009 3358 3723 4012 4071 4307 4692 4964 5037 5428 6018 6716 7446 8142 8614 10074 12036 12921 14892 16284 17228 20148 23069 25842 28543 46138 51684 57086 69207 73219 85629 92276 99061 114172 138414 146438 171258 198122 219657 276828 292876 297183 342516 396244 439314 594366 878628 1188732 1684037 3368074 5052111 6736148 10104222 20208444