Search a number
-
+
4022220321 = 3672112601
BaseRepresentation
bin1110111110111110…
…0011011000100001
3101101022111222000000
43233233203120201
531214142022241
61503042050213
7201450210600
oct35757433041
911338458000
104022220321
111784490729
12943049969
134c1401632
142a2299a37
151881b3eb6
hexefbe3621

4022220321 has 42 divisors (see below), whose sum is σ = 7015217202. Its totient is φ = 2298391200.

The previous prime is 4022220317. The next prime is 4022220329. The reversal of 4022220321 is 1230222204.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 364389921 = 60480^2 + 19089^2 .

It is not a de Polignac number, because 4022220321 - 22 = 4022220317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4022220294 and 4022220303.

It is not an unprimeable number, because it can be changed into a prime (4022220329) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 20580 + ... + 92021.

It is an arithmetic number, because the mean of its divisors is an integer number (167028981).

Almost surely, 24022220321 is an apocalyptic number.

It is an amenable number.

4022220321 is a deficient number, since it is larger than the sum of its proper divisors (2992996881).

4022220321 is an equidigital number, since it uses as much as digits as its factorization.

4022220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112633 (or 112611 counting only the distinct ones).

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

The square root of 4022220321 is about 63420.9769792298. The cubic root of 4022220321 is about 1590.3350059505.

Adding to 4022220321 its reverse (1230222204), we get a palindrome (5252442525).

The spelling of 4022220321 in words is "four billion, twenty-two million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3969 5103 11907 35721 112601 337803 788207 1013409 2364621 3040227 5517449 7093863 9120681 16552347 21281589 27362043 49657041 63844767 82086129 148971123 191534301 446913369 574602903 1340740107 4022220321