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220212303003224 = 237193724123210323
BaseRepresentation
bin110010000100100000101100…
…000110000111111001011000
31001212201002110000122120100122
4302010200230012013321120
5212330424244032100344
62100204045125452412
764245546104155460
oct6204405406077130
91055632400576318
10220212303003224
1164191571138a44
1220846752871108
1395b4c1473633c
143c54491cd6ba0
151a6d36251daee
hexc8482c187e58

220212303003224 has 128 divisors (see below), whose sum is σ = 512261134809600. Its totient is φ = 86632062658560.

The previous prime is 220212303003109. The next prime is 220212303003239. The reversal of 220212303003224 is 422300303212022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220212303003193 and 220212303003202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2117474 + ... + 21092849.

It is an arithmetic number, because the mean of its divisors is an integer number (4002040115700).

Almost surely, 2220212303003224 is an apocalyptic number.

It is an amenable number.

220212303003224 is an abundant number, since it is smaller than the sum of its proper divisors (292048831806376).

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

220212303003224 is a wasteful number, since it uses less digits than its factorization.

220212303003224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23210633 (or 23210629 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 220212303003224 its reverse (422300303212022), we get a palindrome (642512606215246).

The spelling of 220212303003224 in words is "two hundred twenty trillion, two hundred twelve billion, three hundred three million, three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 241 259 266 296 482 518 532 703 964 1036 1064 1406 1687 1928 2072 2812 3374 4579 4921 5624 6748 8917 9158 9842 13496 17834 18316 19684 32053 35668 36632 39368 62419 64106 71336 124838 128212 169423 249676 256424 338846 499352 677692 1185961 1355384 2371922 4743844 9487688 23210323 46420646 92841292 162472261 185682584 324944522 440996137 649889044 858781951 881992274 1299778088 1717563902 1763984548 3086972959 3435127804 3527969096 5593687843 6011473657 6173945918 6870255608 11187375686 12022947314 12347891836 16316857069 22374751372 24045894628 24695783672 32633714138 39155814901 44749502744 48091789256 65267428276 78311629802 106280069017 114217999483 130534856552 156623259604 206966450191 212560138034 228435998966 313246519208 413932900382 425120276068 456871997932 743960483119 827865800764 850240552136 913743995864 1448765151337 1487920966238 1655731601528 2897530302674 2975841932476 3932362553629 5795060605348 5951683864952 7864725107258 11590121210696 15729450214516 27526537875403 31458900429032 55053075750806 110106151501612 220212303003224