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243041204224 = 2117213186299
BaseRepresentation
bin1110001001011001100…
…0100111100000000000
3212020022221220101220101
43202112120213200000
512440222022013344
6303352424252144
723362534102300
oct3422630474000
9766287811811
10243041204224
1194089472a65
123b12a011054
1319bc3481960
14ba9853d600
1564c6e3d9d4
hex3896627800

243041204224 has 144 divisors (see below), whose sum is σ = 608793003000. Its totient is φ = 96147652608.

The previous prime is 243041204177. The next prime is 243041204227. The reversal of 243041204224 is 422402140342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 243041204192 and 243041204201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243041204227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211427 + ... + 1397725.

Almost surely, 2243041204224 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 243041204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304396501500).

243041204224 is an abundant number, since it is smaller than the sum of its proper divisors (365751798776).

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

243041204224 is a wasteful number, since it uses less digits than its factorization.

243041204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186348 (or 186321 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 243041204224 its reverse (422402140342), we get a palindrome (665443344566).

It can be divided in two parts, 24304 and 1204224, that added together give a triangular number (1228528 = T1567).

The spelling of 243041204224 in words is "two hundred forty-three billion, forty-one million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2048 2548 2912 3136 3328 3584 5096 5824 6272 6656 7168 10192 11648 12544 13312 14336 20384 23296 25088 26624 40768 46592 50176 81536 93184 100352 163072 186299 186368 326144 372598 652288 745196 1304093 1304576 1490392 2421887 2608186 2980784 4843774 5216372 5961568 9128651 9687548 10432744 11923136 16953209 18257302 19375096 20865488 23846272 33906418 36514604 38750192 41730976 47692544 67812836 73029208 77500384 83461952 95385088 118672463 135625672 146058416 155000768 166923904 190770176 237344926 271251344 292116832 310001536 333847808 381540352 474689852 542502688 584233664 620003072 667695616 949379704 1085005376 1168467328 1240006144 1335391232 1898759408 2170010752 2336934656 2480012288 2670782464 3797518816 4340021504 4673869312 4960024576 7595037632 8680043008 9347738624 15190075264 17360086016 18695477248 30380150528 34720172032 60760301056 121520602112 243041204224