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204004444 = 227219291889
BaseRepresentation
bin11000010100011…
…01110001011100
3112012212111111011
430022031301130
5404211120234
632124305004
75025003100
oct1412156134
9465774434
10204004444
11a5178616
12583a2164
1333359bb7
141d145900
1512d9ab64
hexc28dc5c

204004444 has 72 divisors (see below), whose sum is σ = 452466000. Its totient is φ = 79930368.

The previous prime is 204004429. The next prime is 204004469. The reversal of 204004444 is 444400402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107052 + ... + 108940.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2204004444 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 204004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226233000).

204004444 is an abundant number, since it is smaller than the sum of its proper divisors (248461556).

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

204004444 is a wasteful number, since it uses less digits than its factorization.

204004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 204004444 is about 14283.0124273558. The cubic root of 204004444 is about 588.6808062954.

Adding to 204004444 its reverse (444400402), we get a palindrome (648404846).

The spelling of 204004444 in words is "two hundred four million, four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 29 38 49 58 76 98 116 133 196 203 266 406 532 551 812 931 1102 1421 1862 1889 2204 2842 3724 3778 3857 5684 7556 7714 13223 15428 26446 26999 35891 52892 53998 54781 71782 92561 107996 109562 143564 185122 219124 251237 370244 383467 502474 766934 1004948 1040839 1533868 1758659 2081678 2684269 3517318 4163356 5368538 7034636 7285873 10737076 14571746 29143492 51001111 102002222 204004444