Search a number
-
+
4232222130 = 2354117231997
BaseRepresentation
bin1111110001000010…
…1001010110110010
3101220221200011022210
43330100221112302
532131422102010
61535543112550
7206610203013
oct37420512662
911827604283
104232222130
111881a85144
129a1442756
13525a7b266
142c212300a
1519b846b20
hexfc4295b2

4232222130 has 64 divisors (see below), whose sum is σ = 10416325248. Its totient is φ = 1099875840.

The previous prime is 4232222119. The next prime is 4232222149. The reversal of 4232222130 is 312222324.

4232222130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4232222097 and 4232222106.

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, 2118292 + ... + 2120288.

It is an arithmetic number, because the mean of its divisors is an integer number (162755082).

Almost surely, 24232222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208162624).

4232222130 is an abundant number, since it is smaller than the sum of its proper divisors (6184103118).

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

4232222130 is a wasteful number, since it uses less digits than its factorization.

4232222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4232222130 is about 65055.5311253394. The cubic root of 4232222130 is about 1617.5441794806.

Adding to 4232222130 its reverse (312222324), we get a palindrome (4544444454).

The spelling of 4232222130 in words is "four billion, two hundred thirty-two million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1723 1997 3446 3994 5169 5991 8615 9985 10338 11982 17230 19970 25845 29955 51690 59910 70643 81877 141286 163754 211929 245631 353215 409385 423858 491262 706430 818770 1059645 1228155 2119290 2456310 3440831 6881662 10322493 17204155 20644986 34408310 51612465 103224930 141074071 282148142 423222213 705370355 846444426 1410740710 2116111065 4232222130