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221989405124 = 22372338217841
BaseRepresentation
bin1100111010111110011…
…0011000000111000100
3210012222211020012112102
43032233212120013010
512114113241430444
6245551443211232
722016050544564
oct3165746300704
9705884205472
10221989405124
1186166260793
1237033976b18
1317c19c018b6
14aa5c6a4da4
155b93bad84e
hex33af9981c4

221989405124 has 48 divisors (see below), whose sum is σ = 401232542256. Its totient is φ = 107386675200.

The previous prime is 221989405111. The next prime is 221989405147. The reversal of 221989405124 is 421504989122.

221989405124 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 8 ways, for example, as 3461204224 + 218528200900 = 58832^2 + 467470^2 .

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 15 ways as a sum of consecutive naturals, for example, 28307444 + ... + 28315284.

It is an arithmetic number, because the mean of its divisors is an integer number (8359011297).

Almost surely, 2221989405124 is an apocalyptic number.

It is an amenable number.

221989405124 is a deficient number, since it is larger than the sum of its proper divisors (179243137132).

221989405124 is a wasteful number, since it uses less digits than its factorization.

221989405124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 221989405124 in words is "two hundred twenty-one billion, nine hundred eighty-nine million, four hundred five thousand, one hundred twenty-four".

Divisors: 1 2 4 37 74 148 233 466 821 932 1642 3284 7841 8621 15682 17242 30377 31364 34484 60754 121508 191293 290117 382586 580234 765172 1160468 1826953 3653906 6437461 7077841 7307812 12874922 14155682 25749844 28311364 67597261 135194522 238186057 270389044 476372114 952744228 1499928413 2999856826 5999713652 55497351281 110994702562 221989405124