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1123224232 = 2313611011753
BaseRepresentation
bin100001011110011…
…0000101010101000
32220021112200222111
41002330300222220
54300021133412
6303242332104
736556151134
oct10274605250
92807480874
101123224232
11527037a99
122741ba034
1314b922830
14a92663c4
15689222a7
hex42f30aa8

1123224232 has 64 divisors (see below), whose sum is σ = 2329382160. Its totient is φ = 504576000.

The previous prime is 1123224173. The next prime is 1123224253. The reversal of 1123224232 is 2324223211.

It can be written as a sum of positive squares in 8 ways, for example, as 81613156 + 1041611076 = 9034^2 + 32274^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 639868 + ... + 641620.

Almost surely, 21123224232 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 1123224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164691080).

1123224232 is an abundant number, since it is smaller than the sum of its proper divisors (1206157928).

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

1123224232 is a wasteful number, since it uses less digits than its factorization.

1123224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 1123224232 is about 33514.5376217545. The cubic root of 1123224232 is about 1039.4944016780.

Adding to 1123224232 its reverse (2324223211), we get a palindrome (3447447443).

The spelling of 1123224232 in words is "one billion, one hundred twenty-three million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 61 101 104 122 202 244 404 488 793 808 1313 1586 1753 2626 3172 3506 5252 6161 6344 7012 10504 12322 14024 22789 24644 45578 49288 80093 91156 106933 160186 177053 182312 213866 320372 354106 427732 640744 708212 855464 1390129 1416424 2301689 2780258 4603378 5560516 9206756 10800233 11121032 18413512 21600466 43200932 86401864 140403029 280806058 561612116 1123224232