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204422624 = 2572931469
BaseRepresentation
bin11000010111100…
…11110111100000
3112020122202010022
430023303313200
5404313010444
632141253012
75031364220
oct1413636740
9466582108
10204422624
11a543381a
1258564168
1333475343
141d214080
1512e2e9ee
hexc2f3de0

204422624 has 48 divisors (see below), whose sum is σ = 475826400. Its totient is φ = 84585984.

The previous prime is 204422623. The next prime is 204422639. The reversal of 204422624 is 426224402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 204422593 and 204422602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204422623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9239 + ... + 22230.

It is an arithmetic number, because the mean of its divisors is an integer number (9913050).

Almost surely, 2204422624 is an apocalyptic number.

It is an amenable number.

204422624 is an abundant number, since it is smaller than the sum of its proper divisors (271403776).

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

204422624 is a wasteful number, since it uses less digits than its factorization.

204422624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31515 (or 31507 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 204422624 is about 14297.6440017228. The cubic root of 204422624 is about 589.0827689822.

The spelling of 204422624 in words is "two hundred four million, four hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 31469 62938 125876 220283 251752 440566 503504 881132 912601 1007008 1762264 1825202 3524528 3650404 6388207 7049056 7300808 12776414 14601616 25552828 29203232 51105656 102211312 204422624