Search a number
-
+
4022404220 = 2252341271787
BaseRepresentation
bin1110111111000001…
…0000010001111100
3101101022212022021002
43233300100101330
531214213413340
61503050025432
7201451605002
oct35760202174
911338768232
104022404220
1117845a690a
12943118278
134c1467253
142a2306a72
151881ed715
hexefc1047c

4022404220 has 96 divisors (see below), whose sum is σ = 9074128896. Its totient is φ = 1494028800.

The previous prime is 4022404189. The next prime is 4022404231. The reversal of 4022404220 is 224042204.

4022404220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4022404192 and 4022404201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5110667 + ... + 5111453.

It is an arithmetic number, because the mean of its divisors is an integer number (94522176).

Almost surely, 24022404220 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 4022404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537064448).

4022404220 is an abundant number, since it is smaller than the sum of its proper divisors (5051724676).

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

4022404220 is a wasteful number, since it uses less digits than its factorization.

4022404220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4022404220 is about 63422.4267905289. The cubic root of 4022404220 is about 1590.3592426934.

Adding to 4022404220 its reverse (224042204), we get a palindrome (4246446424).

The spelling of 4022404220 in words is "four billion, twenty-two million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 271 410 460 542 787 820 943 1084 1355 1574 1886 2710 3148 3772 3935 4715 5420 6233 7870 9430 11111 12466 15740 18101 18860 22222 24932 31165 32267 36202 44444 55555 62330 64534 72404 90505 111110 124660 129068 161335 181010 213277 222220 255553 322670 362020 426554 511106 645340 742141 853108 1022212 1066385 1277765 1484282 2132770 2555530 2968564 3710705 4265540 4905371 5111060 7421410 8744357 9810742 14842820 17488714 19621484 24526855 34977428 43721785 49053710 87443570 98107420 174887140 201120211 402240422 804480844 1005601055 2011202110 4022404220