Search a number
-
+
4226160312 = 23331131181317
BaseRepresentation
bin1111101111100110…
…0001011010111000
3101220112021012002000
43323321201122320
532123344112222
61535205141000
7206504525043
oct37371413270
911815235060
104226160312
111879614880
1299b3ba760
1352473809a
142c13c5c5a
1519b04a9ac
hexfbe616b8

4226160312 has 256 divisors, whose sum is σ = 13334630400. Its totient is φ = 1228608000.

The previous prime is 4226160299. The next prime is 4226160319. The reversal of 4226160312 is 2130616224.

4226160312 is a `hidden beast` number, since 42 + 2 + 6 + 1 + 603 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226160319) 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 63 ways as a sum of consecutive naturals, for example, 13331578 + ... + 13331894.

It is an arithmetic number, because the mean of its divisors is an integer number (52088400).

Almost surely, 24226160312 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 4226160312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667315200).

4226160312 is an abundant number, since it is smaller than the sum of its proper divisors (9108470088).

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

4226160312 is a wasteful number, since it uses less digits than its factorization.

4226160312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4226160312 is about 65008.9248642061. The cubic root of 4226160312 is about 1616.7715401742.

Adding to 4226160312 its reverse (2130616224), we get a palindrome (6356776536).

The spelling of 4226160312 in words is "four billion, two hundred twenty-six million, one hundred sixty thousand, three hundred twelve".