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4220320014 = 2321961892273
BaseRepresentation
bin1111101110001100…
…1111100100001110
3101220010021110200200
43323203033210032
532120400220024
61534440034330
7206404061661
oct37343174416
911803243620
104220320014
111876295989
129994629a6
135234719a1
142c07056d8
1519a7952c9
hexfb8cf90e

4220320014 has 96 divisors (see below), whose sum is σ = 9897357600. Its totient is φ = 1295585280.

The previous prime is 4220319967. The next prime is 4220320037. The reversal of 4220320014 is 4100230224.

It is a super-2 number, since 2×42203200142 = 35622202041137920392, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1855582 + ... + 1857854.

It is an arithmetic number, because the mean of its divisors is an integer number (103097475).

Almost surely, 24220320014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220320014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948678800).

4220320014 is an abundant number, since it is smaller than the sum of its proper divisors (5677037586).

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

4220320014 is a wasteful number, since it uses less digits than its factorization.

4220320014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4220320014 is about 64963.9901329960. The cubic root of 4220320014 is about 1616.0264366713.

Adding to 4220320014 its reverse (4100230224), we get a palindrome (8320550238).

The spelling of 4220320014 in words is "four billion, two hundred twenty million, three hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 61 89 114 122 171 178 183 267 342 366 534 549 801 1098 1159 1602 1691 2273 2318 3382 3477 4546 5073 5429 6819 6954 10146 10431 10858 13638 15219 16287 20457 20862 30438 32574 40914 43187 48861 86374 97722 103151 129561 138653 202297 206302 259122 277306 309453 388683 404594 415959 606891 618906 777366 831918 928359 1213782 1247877 1820673 1856718 2495754 2634407 3641346 3843643 5268814 7687286 7903221 11530929 12340117 15806442 23061858 23709663 24680234 34592787 37020351 47419326 69185574 74040702 111061053 222122106 234462223 468924446 703386669 1406773338 2110160007 4220320014