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2112141224 = 23292313933
BaseRepresentation
bin111110111100100…
…1011011110101000
312110012100220001202
41331321023132220
513311202004344
6545330303332
7103224622064
oct17571133650
95405326052
102112141224
11994280a66
124ab427b48
1327877c20b
1416072aaa4
15c566494e
hex7de4b7a8

2112141224 has 24 divisors (see below), whose sum is σ = 4101547710. Its totient is φ = 1019651136.

The previous prime is 2112141203. The next prime is 2112141233. The reversal of 2112141224 is 4221412112.

It can be written as a sum of positive squares in 3 ways, for example, as 1483636324 + 628504900 = 38518^2 + 25070^2 .

It is a super-2 number, since 2×21121412242 = 8922281100240436352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112141196 and 2112141205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150239 + ... + 163694.

Almost surely, 22112141224 is an apocalyptic number.

It is an amenable number.

2112141224 is a deficient number, since it is larger than the sum of its proper divisors (1989406486).

2112141224 is a wasteful number, since it uses less digits than its factorization.

2112141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313997 (or 313964 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2112141224 is about 45958.0376430500. The cubic root of 2112141224 is about 1283.0423286355.

Adding to 2112141224 its reverse (4221412112), we get a palindrome (6333553336).

The spelling of 2112141224 in words is "two billion, one hundred twelve million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 29 58 116 232 841 1682 3364 6728 313933 627866 1255732 2511464 9104057 18208114 36416228 72832456 264017653 528035306 1056070612 2112141224