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20004224 = 271311193
BaseRepresentation
bin100110001001…
…1110110000000
31101122022122012
41030103312000
520110113344
61552432052
7332014232
oct114236600
941568565
1020004224
1110323519
126848628
1341b5326
14292a252
151b5229e
hex1313d80

20004224 has 32 divisors (see below), whose sum is σ = 40190040. Its totient is φ = 9917440.

The previous prime is 20004221. The next prime is 20004233. The reversal of 20004224 is 42240002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20004199 and 20004208.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16172 + ... + 17364.

Almost surely, 220004224 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 20004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20095020).

20004224 is an abundant number, since it is smaller than the sum of its proper divisors (20185816).

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

20004224 is a wasteful number, since it uses less digits than its factorization.

20004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20004224 is about 4472.6081876239. The cubic root of 20004224 is about 271.4608698144.

Adding to 20004224 its reverse (42240002), we get a palindrome (62244226).

The spelling of 20004224 in words is "twenty million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 1193 2096 2386 4192 4772 8384 9544 16768 19088 38176 76352 152704 156283 312566 625132 1250264 2500528 5001056 10002112 20004224