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204304102224 = 243472416132
BaseRepresentation
bin1011111001000101111…
…0010011001101010000
3201112100022012201202220
42332101132103031100
511321403322232344
6233504521541040
720521563133665
oct2762136231520
9645308181686
10204304102224
1179710380982
1233719044780
131635bc46921
149c61995a6c
1554ab268c19
hex2f91793350

204304102224 has 120 divisors (see below), whose sum is σ = 542136051072. Its totient is φ = 66267555840.

The previous prime is 204304102159. The next prime is 204304102229. The reversal of 204304102224 is 422201403402.

204304102224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 204304102194 and 204304102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204304102229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333285342 + ... + 333285954.

Almost surely, 2204304102224 is an apocalyptic number.

204304102224 is a gapful number since it is divisible by the number (24) 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 204304102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271068025536).

204304102224 is an abundant number, since it is smaller than the sum of its proper divisors (337831948848).

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

204304102224 is an equidigital number, since it uses as much as digits as its factorization.

204304102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204304102224 its reverse (422201403402), we get a palindrome (626505505626).

The spelling of 204304102224 in words is "two hundred four billion, three hundred four million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 241 282 376 482 564 613 723 752 964 1128 1226 1446 1839 1928 2256 2452 2892 3678 3856 4904 5784 7356 9808 11327 11568 14712 22654 28811 29424 33981 45308 57622 67962 86433 90616 115244 135924 147733 172866 181232 230488 271848 295466 345732 375769 443199 460976 543696 590932 691464 751538 886398 1127307 1181864 1382928 1503076 1772796 2254614 2363728 3006152 3545592 4509228 6012304 6943451 7091184 9018456 13886902 17661143 18036912 20830353 27773804 35322286 41660706 52983429 55547608 70644572 83321412 90560329 105966858 111095216 141289144 166642824 181120658 211933716 271680987 282578288 333285648 362241316 423867432 543361974 724482632 847734864 1086723948 1448965264 2173447896 4256335463 4346895792 8512670926 12769006389 17025341852 25538012778 34050683704 51076025556 68101367408 102152051112 204304102224