Search a number
-
+
4222552224 = 253113998629
BaseRepresentation
bin1111101110101111…
…0000100010100000
3101220021110212201010
43323223300202200
532121433132344
61534555540520
7206432046612
oct37353604240
911807425633
104222552224
11187757aa90
1299a15a740
13523a73a17
142c0b26db2
1519aa868b9
hexfbaf08a0

4222552224 has 48 divisors (see below), whose sum is σ = 12091857120. Its totient is φ = 1279560960.

The previous prime is 4222552211. The next prime is 4222552231.

4222552224 is nontrivially palindromic in base 10.

4222552224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4222552191 and 4222552200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1998259 + ... + 2000370.

It is an arithmetic number, because the mean of its divisors is an integer number (251913690).

Almost surely, 24222552224 is an apocalyptic number.

4222552224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4222552224 is an abundant number, since it is smaller than the sum of its proper divisors (7869304896).

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

4222552224 is a wasteful number, since it uses less digits than its factorization.

4222552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998653 (or 3998645 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 4222552224 is about 64981.1682258791. The cubic root of 4222552224 is about 1616.3113024757.

It can be divided in two parts, 42225 and 52224, that added together give a palindrome (94449).

The spelling of 4222552224 in words is "four billion, two hundred twenty-two million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3998629 7997258 11995887 15994516 23991774 31989032 43984919 47983548 63978064 87969838 95967096 127956128 131954757 175939676 191934192 263909514 351879352 383868384 527819028 703758704 1055638056 1407517408 2111276112 4222552224