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220012461 = 3224445829
BaseRepresentation
bin11010001110100…
…01111110101101
3120022222210100200
431013101332231
5422310344321
633455344113
75311034514
oct1507217655
9508883320
10220012461
11103211689
1261822039
13367732b6
142131167b
15144add26
hexd1d1fad

220012461 has 6 divisors (see below), whose sum is σ = 317795790. Its totient is φ = 146674968.

The previous prime is 220012459. The next prime is 220012489. The reversal of 220012461 is 164210022.

220012461 is a `hidden beast` number, since 2 + 200 + 1 + 2 + 461 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188540361 + 31472100 = 13731^2 + 5610^2 .

It is not a de Polignac number, because 220012461 - 21 = 220012459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012451) by changing a digit.

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, 12222906 + ... + 12222923.

It is an arithmetic number, because the mean of its divisors is an integer number (52965965).

Almost surely, 2220012461 is an apocalyptic number.

It is an amenable number.

220012461 is a deficient number, since it is larger than the sum of its proper divisors (97783329).

220012461 is a wasteful number, since it uses less digits than its factorization.

220012461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24445835 (or 24445832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220012461 is about 14832.8170284677. The cubic root of 220012461 is about 603.6924711462.

Adding to 220012461 its reverse (164210022), we get a palindrome (384222483).

The spelling of 220012461 in words is "two hundred twenty million, twelve thousand, four hundred sixty-one".

Divisors: 1 3 9 24445829 73337487 220012461