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221040142506 = 23254881223757
BaseRepresentation
bin1100110111011100000…
…1001110100010101010
3210010112200000200000200
43031313001032202222
512110142234030011
6245313333213030
721653403132231
oct3156701164252
9703480020020
10221040142506
1185819441727
1236a09a91176
1317ac834a641
14a9ac5a3b18
155b3a6a0856
hex337704e8aa

221040142506 has 24 divisors (see below), whose sum is σ = 478931175684. Its totient is φ = 73678375680.

The previous prime is 221040142493. The next prime is 221040142507. The reversal of 221040142506 is 605241040122.

221040142506 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 401 + 4 + 250 + 6 = 666.

221040142506 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 2 ways, for example, as 218471173281 + 2568969225 = 467409^2 + 50685^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221040142506.

It is not an unprimeable number, because it can be changed into a prime (221040142507) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 875980 + ... + 1099736.

Almost surely, 2221040142506 is an apocalyptic number.

221040142506 is an abundant number, since it is smaller than the sum of its proper divisors (257891033178).

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

221040142506 is a wasteful number, since it uses less digits than its factorization.

221040142506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278646 (or 278643 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 221040142506 its reverse (605241040122), we get a palindrome (826281182628).

The spelling of 221040142506 in words is "two hundred twenty-one billion, forty million, one hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 54881 109762 164643 223757 329286 447514 493929 671271 987858 1342542 2013813 4027626 12280007917 24560015834 36840023751 73680047502 110520071253 221040142506