Search a number
-
+
4224233412 = 2232726363737
BaseRepresentation
bin1111101111001000…
…1010111111000100
3101220101122021212100
43323302022333010
532122400432122
61535055552100
7206452251210
oct37362127704
911811567770
104224233412
1118785190a3
1299a82b630
13524211cc9
142c1043940
1519acb9aac
hexfbc8afc4

4224233412 has 72 divisors (see below), whose sum is σ = 12249933696. Its totient is φ = 1202315904.

The previous prime is 4224233399. The next prime is 4224233413. The reversal of 4224233412 is 2143324224.

4224233412 is a `hidden beast` number, since 4 + 2 + 242 + 3 + 3 + 412 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4224233413) 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, 34408 + ... + 98144.

It is an arithmetic number, because the mean of its divisors is an integer number (170137968).

Almost surely, 24224233412 is an apocalyptic number.

4224233412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224233412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124966848).

4224233412 is an abundant number, since it is smaller than the sum of its proper divisors (8025700284).

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

4224233412 is a wasteful number, since it uses less digits than its factorization.

4224233412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64017 (or 64012 counting only the distinct ones).

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

The square root of 4224233412 is about 64994.1029017249. The cubic root of 4224233412 is about 1616.5257827609.

Adding to 4224233412 its reverse (2143324224), we get a palindrome (6367557636).

The spelling of 4224233412 in words is "four billion, two hundred twenty-four million, two hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 263 526 789 1052 1578 1841 2367 3156 3682 4734 5523 7364 9468 11046 16569 22092 33138 63737 66276 127474 191211 254948 382422 446159 573633 764844 892318 1147266 1338477 1784636 2294532 2676954 4015431 5353908 8030862 16061724 16762831 33525662 50288493 67051324 100576986 117339817 150865479 201153972 234679634 301730958 352019451 469359268 603461916 704038902 1056058353 1408077804 2112116706 4224233412