Search a number
-
+
1112224344 = 2337211127677
BaseRepresentation
bin100001001001011…
…0011001001011000
32212111211211222020
41002102303021120
54234212134334
6302210454440
736363515400
oct10222631130
92774754866
101112224344
11520904680
12270594420
13149570b1a
14a7a01800
156799ce49
hex424b3258

1112224344 has 192 divisors, whose sum is σ = 3561615360. Its totient is φ = 286191360.

The previous prime is 1112224339. The next prime is 1112224349. The reversal of 1112224344 is 4434222111.

It is an interprime number because it is at equal distance from previous prime (1112224339) and next prime (1112224349).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (1112224349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1642534 + ... + 1643210.

It is an arithmetic number, because the mean of its divisors is an integer number (18550080).

Almost surely, 21112224344 is an apocalyptic number.

1112224344 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 1112224344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780807680).

1112224344 is an abundant number, since it is smaller than the sum of its proper divisors (2449391016).

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

1112224344 is a wasteful number, since it uses less digits than its factorization.

1112224344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1112224344 is about 33350.0276461655. The cubic root of 1112224344 is about 1036.0899605348.

Adding to 1112224344 its reverse (4434222111), we get a palindrome (5546446455).

It can be divided in two parts, 1112 and 224344, that added together give a triangular number (225456 = T671).

The spelling of 1112224344 in words is "one billion, one hundred twelve million, two hundred twenty-four thousand, three hundred forty-four".