Search a number
-
+
1144222464 = 28371121759
BaseRepresentation
bin100010000110011…
…0111001100000000
32221202001112010210
41010030313030000
54320410104324
6305312354120
740232505360
oct10414671400
92852045123
101144222464
1153797a300
1227b245940
13153095418
14abd709a0
156a6bdd29
hex44337300

1144222464 has 216 divisors, whose sum is σ = 3827676160. Its totient is φ = 297031680.

The previous prime is 1144222441. The next prime is 1144222481. The reversal of 1144222464 is 4642224411.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649617 + ... + 651375.

Almost surely, 21144222464 is an apocalyptic number.

1144222464 is a gapful number since it is divisible by the number (14) 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 1144222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913838080).

1144222464 is an abundant number, since it is smaller than the sum of its proper divisors (2683453696).

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

1144222464 is a wasteful number, since it uses less digits than its factorization.

1144222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1782 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 1144222464 is about 33826.3575337340. The cubic root of 1144222464 is about 1045.9320954179.

Adding to 1144222464 its reverse (4642224411), we get a palindrome (5786446875).

It can be divided in two parts, 114422 and 2464, that added together give a triangular number (116886 = T483).

The spelling of 1144222464 in words is "one billion, one hundred forty-four million, two hundred twenty-two thousand, four hundred sixty-four".