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20822004 = 22327531559
BaseRepresentation
bin100111101101…
…1011111110100
31110011212102100
41033123133310
520312301004
62022142100
7341661360
oct117333764
943155370
1020822004
1110831975
126b81930
134410618
142aa02a0
151c64739
hex13db7f4

20822004 has 72 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 5833152.

The previous prime is 20821981. The next prime is 20822017. The reversal of 20822004 is 40022802.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12577 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 220822004 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 20822004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

20822004 is an abundant number, since it is smaller than the sum of its proper divisors (40504716).

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

20822004 is a wasteful number, since it uses less digits than its factorization.

20822004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1624 counting only the distinct ones).

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

The square root of 20822004 is about 4563.1134108194. The cubic root of 20822004 is about 275.1107168512.

Adding to 20822004 its reverse (40022802), we get a palindrome (60844806).

The spelling of 20822004 in words is "twenty million, eight hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1559 1908 2226 3118 3339 4452 4677 6236 6678 9354 10913 13356 14031 18708 21826 28062 32739 43652 56124 65478 82627 98217 130956 165254 196434 247881 330508 392868 495762 578389 743643 991524 1156778 1487286 1735167 2313556 2974572 3470334 5205501 6940668 10411002 20822004