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4220113320 = 2332517689561
BaseRepresentation
bin1111101110001001…
…1101000110101000
3101220002212222011100
43323202131012220
532120322111240
61534431401400
7206402241243
oct37342350650
911802788140
104220113320
111876164665
12999383260
135233cb897
142c069025a
1519a753e30
hexfb89d1a8

4220113320 has 96 divisors (see below), whose sum is σ = 14522175720. Its totient is φ = 1059164160.

The previous prime is 4220113319. The next prime is 4220113333. The reversal of 4220113320 is 233110224.

It can be written as a sum of positive squares in 4 ways, for example, as 4192044516 + 28068804 = 64746^2 + 5298^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4220113293 and 4220113302.

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 23 ways as a sum of consecutive naturals, for example, 338661 + ... + 350900.

Almost surely, 24220113320 is an apocalyptic number.

4220113320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220113320 is an abundant number, since it is smaller than the sum of its proper divisors (10302062400).

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

4220113320 is a wasteful number, since it uses less digits than its factorization.

4220113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689595 (or 689588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4220113320 is about 64962.3992783518. The cubic root of 4220113320 is about 1616.0000541205. Note that the first 4 decimals are identical.

Adding to 4220113320 its reverse (233110224), we get a palindrome (4453223544).

The spelling of 4220113320 in words is "four billion, two hundred twenty million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 689561 1379122 2068683 2758244 3447805 4137366 5516488 6206049 6895610 8274732 10343415 11722537 12412098 13791220 16549464 20686830 23445074 24824196 27582440 31030245 35167611 41373660 46890148 49648392 58612685 62060490 70335222 82747320 93780296 105502833 117225370 124120980 140670444 175838055 211005666 234450740 248241960 281340888 351676110 422011332 468901480 527514165 703352220 844022664 1055028330 1406704440 2110056660 4220113320