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1123030224 = 243325110357
BaseRepresentation
bin100001011110000…
…0001010011010000
32220021011211212000
41002330001103100
54244443431344
6303234234000
736554412411
oct10274012320
92807154760
101123030224
11526a15258
12274125900
1314b885434
14a9215808
15688d4a69
hex42f014d0

1123030224 has 80 divisors (see below), whose sum is σ = 3236667840. Its totient is φ = 372816000.

The previous prime is 1123030219. The next prime is 1123030229. The reversal of 1123030224 is 4220303211.

It is an interprime number because it is at equal distance from previous prime (1123030219) and next prime (1123030229).

It is a super-2 number, since 2×11230302242 = 2522393768034980352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1123030197 and 1123030206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123030229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 103254 + ... + 113610.

It is an arithmetic number, because the mean of its divisors is an integer number (40458348).

Almost surely, 21123030224 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 1123030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618333920).

1123030224 is an abundant number, since it is smaller than the sum of its proper divisors (2113637616).

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

1123030224 is a wasteful number, since it uses less digits than its factorization.

1123030224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1123030224 is about 33511.6431110144. The cubic root of 1123030224 is about 1039.4345496210.

Adding to 1123030224 its reverse (4220303211), we get a palindrome (5343333435).

The spelling of 1123030224 in words is "one billion, one hundred twenty-three million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6777 9036 10357 12048 13554 18072 20714 27108 31071 36144 41428 54216 62142 82856 93213 108432 124284 165712 186426 248568 279639 372852 497136 559278 745704 1118556 1491408 2237112 2599607 4474224 5199214 7798821 10398428 15597642 20796856 23396463 31195284 41593712 46792926 62390568 70189389 93585852 124781136 140378778 187171704 280757556 374343408 561515112 1123030224