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223004013440 = 27513211112697
BaseRepresentation
bin1100111110110000010…
…0110011001110000000
3210022121112101122111012
43033230010303032000
512123203011412230
6250240245540052
722053150560405
oct3175404631600
9708545348435
10223004013440
1186636a51a5a
1237277714628
131804c185050
14ab173362ac
155c02cc8395
hex33ec133380

223004013440 has 128 divisors (see below), whose sum is σ = 574445329920. Its totient is φ = 82294456320.

The previous prime is 223004013391. The next prime is 223004013473. The reversal of 223004013440 is 44310400322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17557172 + ... + 17569868.

It is an arithmetic number, because the mean of its divisors is an integer number (4487854140).

Almost surely, 2223004013440 is an apocalyptic number.

223004013440 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 223004013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287222664960).

223004013440 is an abundant number, since it is smaller than the sum of its proper divisors (351441316480).

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

223004013440 is a wasteful number, since it uses less digits than its factorization.

223004013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840 (or 14828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 223004013440 its reverse (44310400322), we get a palindrome (267314413762).

The spelling of 223004013440 in words is "two hundred twenty-three billion, four million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2111 4160 4222 8320 8444 10555 12697 16888 21110 25394 27443 33776 42220 50788 54886 63485 67552 84440 101576 109772 126970 135104 137215 165061 168880 203152 219544 253940 270208 274430 330122 337760 406304 439088 507880 548860 660244 675520 812608 825305 878176 1015760 1097720 1320488 1351040 1625216 1650610 1756352 2031520 2195440 2640976 3301220 3512704 4063040 4390880 5281952 6602440 8126080 8781760 10563904 13204880 17563520 21127808 26409760 26803367 52819520 53606734 105639040 107213468 134016835 214426936 268033670 348443771 428853872 536067340 696887542 857707744 1072134680 1393775084 1715415488 1742218855 2144269360 2787550168 3430830976 3484437710 4288538720 5575100336 6968875420 8577077440 11150200672 13937750840 17154154880 22300401344 27875501680 44600802688 55751003360 111502006720 223004013440