Search a number
-
+
4232224404 = 223426349667
BaseRepresentation
bin1111110001000010…
…1001111010010100
3101220221200021110000
43330100221322110
532131422140104
61535543131300
7206610212442
oct37420517224
911827607400
104232224404
111881a86921
129a1443b30
13525a7c2c5
142c2123b92
1519b847639
hexfc429e94

4232224404 has 60 divisors (see below), whose sum is σ = 11106162144. Its totient is φ = 1405349136.

The previous prime is 4232224379. The next prime is 4232224427. The reversal of 4232224404 is 4044222324.

4232224404 is a `hidden beast` number, since 4 + 2 + 32 + 224 + 404 = 666.

4232224404 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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60379 + ... + 110045.

Almost surely, 24232224404 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 4232224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553081072).

4232224404 is an abundant number, since it is smaller than the sum of its proper divisors (6873937740).

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

4232224404 is a wasteful number, since it uses less digits than its factorization.

4232224404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49946 (or 49935 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4232224404 is about 65055.5486027134. The cubic root of 4232224404 is about 1617.5444691862.

Adding to 4232224404 its reverse (4044222324), we get a palindrome (8276446728).

The spelling of 4232224404 in words is "four billion, two hundred thirty-two million, two hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 263 324 526 789 1052 1578 2367 3156 4734 7101 9468 14202 21303 28404 42606 49667 85212 99334 149001 198668 298002 447003 596004 894006 1341009 1788012 2682018 4023027 5364036 8046054 13062421 16092108 26124842 39187263 52249684 78374526 117561789 156749052 235123578 352685367 470247156 705370734 1058056101 1410741468 2116112202 4232224404