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204333420 = 223529432731
BaseRepresentation
bin11000010110111…
…10000101101100
3112020111012202110
430023132011230
5404302132140
632135324020
75030543154
oct1413360554
9466435673
10204333420
11a53827a5
1258520610
1333443865
141d1cd764
1512e13380
hexc2de16c

204333420 has 96 divisors (see below), whose sum is σ = 605848320. Its totient is φ = 51367680.

The previous prime is 204333419. The next prime is 204333433. The reversal of 204333420 is 24333402.

204333420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73455 + ... + 76185.

It is an arithmetic number, because the mean of its divisors is an integer number (6310920).

Almost surely, 2204333420 is an apocalyptic number.

204333420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302924160).

204333420 is an abundant number, since it is smaller than the sum of its proper divisors (401514900).

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

204333420 is a wasteful number, since it uses less digits than its factorization.

204333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 204333420 is about 14294.5241263919. The cubic root of 204333420 is about 588.9970704040.

Adding to 204333420 its reverse (24333402), we get a palindrome (228666822).

The spelling of 204333420 in words is "two hundred four million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 43 58 60 86 87 116 129 145 172 174 215 258 290 348 430 435 516 580 645 860 870 1247 1290 1740 2494 2580 2731 3741 4988 5462 6235 7482 8193 10924 12470 13655 14964 16386 18705 24940 27310 32772 37410 40965 54620 74820 79199 81930 117433 158398 163860 234866 237597 316796 352299 395995 469732 475194 587165 704598 791990 950388 1174330 1187985 1409196 1583980 1761495 2348660 2375970 3405557 3522990 4751940 6811114 7045980 10216671 13622228 17027785 20433342 34055570 40866684 51083355 68111140 102166710 204333420