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204122424 = 233112333617
BaseRepresentation
bin11000010101010…
…10100100111000
3112020002111022210
430022222210320
5404223404144
632131015120
75026004052
oct1412524470
9466074283
10204122424
11a5249220
125843a4a0
133339b7cc
141d1768d2
1512dc0ab9
hexc2aa938

204122424 has 64 divisors (see below), whose sum is σ = 580919040. Its totient is φ = 59164160.

The previous prime is 204122423. The next prime is 204122449. The reversal of 204122424 is 424221402.

204122424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204122424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204122423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10737 + ... + 22880.

It is an arithmetic number, because the mean of its divisors is an integer number (9076860).

Almost surely, 2204122424 is an apocalyptic number.

204122424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204122424 is an abundant number, since it is smaller than the sum of its proper divisors (376796616).

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

204122424 is a wasteful number, since it uses less digits than its factorization.

204122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33660 (or 33656 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 204122424 is about 14287.1419115231. The cubic root of 204122424 is about 588.7942665316.

Adding to 204122424 its reverse (424221402), we get a palindrome (628343826).

The spelling of 204122424 in words is "two hundred four million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 33617 67234 100851 134468 201702 268936 369787 403404 739574 773191 806808 1109361 1479148 1546382 2218722 2319573 2958296 3092764 4437444 4639146 6185528 8505101 8874888 9278292 17010202 18556584 25515303 34020404 51030606 68040808 102061212 204122424