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1123124224 = 21023431109
BaseRepresentation
bin100001011110001…
…1000010000000000
32220021100121210111
41002330120100000
54300004433344
6303240241104
736555253435
oct10274302000
92807317714
101123124224
11526a79942
12274170194
1314b8b9161
14a923bb8c
1568902834
hex42f18400

1123124224 has 88 divisors (see below), whose sum is σ = 2399411520. Its totient is φ = 524181504.

The previous prime is 1123124207. The next prime is 1123124237. The reversal of 1123124224 is 4224213211.

It is a super-2 number, since 2×11231242242 = 2522816045071204352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123124195 and 1123124204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012182 + ... + 1013290.

It is an arithmetic number, because the mean of its divisors is an integer number (27266040).

Almost surely, 21123124224 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 1123124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199705760).

1123124224 is an abundant number, since it is smaller than the sum of its proper divisors (1276287296).

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

1123124224 is a wasteful number, since it uses less digits than its factorization.

1123124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1177 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 1123124224 is about 33513.0455792964. The cubic root of 1123124224 is about 1039.4635497671.

Adding to 1123124224 its reverse (4224213211), we get a palindrome (5347337435).

The spelling of 1123124224 in words is "one billion, one hundred twenty-three million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 256 344 368 512 688 736 989 1024 1109 1376 1472 1978 2218 2752 2944 3956 4436 5504 5888 7912 8872 11008 11776 15824 17744 22016 23552 25507 31648 35488 44032 47687 51014 63296 70976 95374 102028 126592 141952 190748 204056 253184 283904 381496 408112 506368 567808 762992 816224 1012736 1096801 1135616 1525984 1632448 2193602 3051968 3264896 4387204 6103936 6529792 8774408 12207872 13059584 17548816 24415744 26119168 35097632 48831488 70195264 140390528 280781056 561562112 1123124224