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11424200224 = 25192988937
BaseRepresentation
bin10101010001110111…
…10111011000100000
31002111011122111112211
422220323313120200
5141344043401344
65125340131504
7553050046123
oct125073673040
932434574484
1011424200224
114932732798
122269b36b94
131100a900b8
147a53743ba
1546ce33334
hex2a8ef7620

11424200224 has 36 divisors (see below), whose sum is σ = 23737478814. Its totient is φ = 5411457792.

The previous prime is 11424200201. The next prime is 11424200233. The reversal of 11424200224 is 42200242411.

11424200224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6900292624 + 4523907600 = 83068^2 + 67260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11424200195 and 11424200204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 482917 + ... + 506020.

Almost surely, 211424200224 is an apocalyptic number.

It is an amenable number.

11424200224 is an abundant number, since it is smaller than the sum of its proper divisors (12313278590).

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

11424200224 is an equidigital number, since it uses as much as digits as its factorization.

11424200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988985 (or 988958 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 11424200224 its reverse (42200242411), we get a palindrome (53624442635).

The spelling of 11424200224 in words is "eleven billion, four hundred twenty-four million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11552 988937 1977874 3955748 7911496 15822992 18789803 31645984 37579606 75159212 150318424 300636848 357006257 601273696 714012514 1428025028 2856050056 5712100112 11424200224