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4223240420 = 2257229181821
BaseRepresentation
bin1111101110111001…
…1000100011100100
3101220022202211201212
43323232120203210
532122122143140
61535022410552
7206440644200
oct37356304344
911808684655
104223240420
111877a00043
1299a430a58
13523c55039
142c0c65b00
1519ab70765
hexfbb988e4

4223240420 has 144 divisors (see below), whose sum is σ = 10744559280. Its totient is φ = 1388620800.

The previous prime is 4223240407. The next prime is 4223240443. The reversal of 4223240420 is 240423224.

It can be written as a sum of positive squares in 8 ways, for example, as 1030538404 + 3192702016 = 32102^2 + 56504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5143610 + ... + 5144430.

It is an arithmetic number, because the mean of its divisors is an integer number (74614995).

Almost surely, 24223240420 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 4223240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372279640).

4223240420 is an abundant number, since it is smaller than the sum of its proper divisors (6521318860).

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

4223240420 is a wasteful number, since it uses less digits than its factorization.

4223240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4223240420 is about 64986.4633596875. The cubic root of 4223240420 is about 1616.3991070774.

Adding to 4223240420 its reverse (240423224), we get a palindrome (4463663644).

The spelling of 4223240420 in words is "four billion, two hundred twenty-three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 181 196 203 245 290 362 406 490 580 724 812 821 905 980 1015 1267 1421 1642 1810 2030 2534 2842 3284 3620 4060 4105 5068 5249 5684 5747 6335 7105 8210 8869 10498 11494 12670 14210 16420 17738 20996 22988 23809 25340 26245 28420 28735 35476 36743 40229 44345 47618 52490 57470 73486 80458 88690 95236 104980 114940 119045 146972 148601 160916 166663 177380 183715 201145 238090 257201 297202 333326 367430 402290 476180 514402 594404 666652 734860 743005 804580 833315 1028804 1040207 1166641 1286005 1486010 1666630 2080414 2333282 2572010 2972020 3333260 4160828 4309429 4666564 5144020 5201035 5833205 7281449 8618858 10402070 11666410 14562898 17237716 20804140 21547145 23332820 29125796 30166003 36407245 43094290 60332006 72814490 86188580 120664012 145628980 150830015 211162021 301660030 422324042 603320060 844648084 1055810105 2111620210 4223240420