Search a number
-
+
4224332412 = 223543310037
BaseRepresentation
bin1111101111001010…
…0011001001111100
3101220101211022200000
43323302203021330
532122412114122
61535102034300
7206453142636
oct37362431174
911811738600
104224332412
111878586513
1299a878990
135242480a1
142c106ba56
1519acd90ac
hexfbca327c

4224332412 has 72 divisors (see below), whose sum is σ = 11100341616. Its totient is φ = 1404718848.

The previous prime is 4224332381. The next prime is 4224332417. The reversal of 4224332412 is 2142334224.

4224332412 is a `hidden beast` number, since 4 + 2 + 243 + 3 + 2 + 412 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224332417) 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 23 ways as a sum of consecutive naturals, for example, 415858 + ... + 425894.

Almost surely, 24224332412 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 4224332412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550170808).

4224332412 is an abundant number, since it is smaller than the sum of its proper divisors (6876009204).

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

4224332412 is a wasteful number, since it uses less digits than its factorization.

4224332412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10475 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 4224332412 is about 64994.8645048207. The cubic root of 4224332412 is about 1616.5384110721.

Adding to 4224332412 its reverse (2142334224), we get a palindrome (6366666636).

The spelling of 4224332412 in words is "four billion, two hundred twenty-four million, three hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 433 486 866 972 1299 1732 2598 3897 5196 7794 10037 11691 15588 20074 23382 30111 35073 40148 46764 60222 70146 90333 105219 120444 140292 180666 210438 270999 361332 420876 541998 812997 1083996 1625994 2438991 3251988 4346021 4877982 8692042 9755964 13038063 17384084 26076126 39114189 52152252 78228378 117342567 156456756 234685134 352027701 469370268 704055402 1056083103 1408110804 2112166206 4224332412