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204142224 = 243111329741
BaseRepresentation
bin11000010101011…
…11011010010000
3112020010111111010
430022233122100
5404230022344
632131250520
75026115556
oct1412573220
9466114433
10204142224
11a5262090
1258449a40
13333a7820
141d17dbd6
1512dc68b9
hexc2af690

204142224 has 80 divisors (see below), whose sum is σ = 619585344. Its totient is φ = 57100800.

The previous prime is 204142219. The next prime is 204142231. The reversal of 204142224 is 422241402.

It is a self number, because there is not a number n which added to its sum of digits gives 204142224.

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 15 ways as a sum of consecutive naturals, for example, 8007 + ... + 21734.

Almost surely, 2204142224 is an apocalyptic number.

204142224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204142224 is an abundant number, since it is smaller than the sum of its proper divisors (415443120).

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

204142224 is a wasteful number, since it uses less digits than its factorization.

204142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29776 (or 29770 counting only the distinct ones).

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

The square root of 204142224 is about 14287.8348254730. The cubic root of 204142224 is about 588.8133037174.

Adding to 204142224 its reverse (422241402), we get a palindrome (626383626).

The spelling of 204142224 in words is "two hundred four million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 29741 59482 89223 118964 178446 237928 327151 356892 386633 475856 654302 713784 773266 981453 1159899 1308604 1427568 1546532 1962906 2319798 2617208 3093064 3925812 4252963 4639596 5234416 6186128 7851624 8505926 9279192 12758889 15703248 17011852 18558384 25517778 34023704 51035556 68047408 102071112 204142224