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1124224444 = 227227720707
BaseRepresentation
bin100001100000010…
…0100110110111100
32220100102112000101
41003000210312330
54300300140234
6303320010444
736600515200
oct10300446674
92810375011
101124224444
11527660512
12274600a24
1314bbb2b85
14a9446b00
1568a6d814
hex43024dbc

1124224444 has 36 divisors (see below), whose sum is σ = 2296972776. Its totient is φ = 480047904.

The previous prime is 1124224441. The next prime is 1124224463. The reversal of 1124224444 is 4444224211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 (1124224441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43939 + ... + 64645.

Almost surely, 21124224444 is an apocalyptic number.

1124224444 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 1124224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148486388).

1124224444 is an abundant number, since it is smaller than the sum of its proper divisors (1172748332).

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

1124224444 is a wasteful number, since it uses less digits than its factorization.

1124224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21002 (or 20993 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 1124224444 is about 33529.4563630250. The cubic root of 1124224444 is about 1039.8028608088.

Adding to 1124224444 its reverse (4444224211), we get a palindrome (5568448655).

The spelling of 1124224444 in words is "one billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 277 554 1108 1939 3878 7756 13573 20707 27146 41414 54292 82828 144949 289898 579796 1014643 2029286 4058572 5735839 11471678 22943356 40150873 80301746 160603492 281056111 562112222 1124224444