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221944016 = 24719104297
BaseRepresentation
bin11010011101010…
…01100011010000
3120110121220221202
431032221203100
5423304202031
634005010332
75333331050
oct1516514320
9513556852
10221944016
11104310908
12623b39a8
1336c9b528
1421695560
15147412cb
hexd3a98d0

221944016 has 40 divisors (see below), whose sum is σ = 517318080. Its totient is φ = 90111744.

The previous prime is 221944013. The next prime is 221944033. The reversal of 221944016 is 610449122.

It is a self number, because there is not a number n which added to its sum of digits gives 221944016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221944013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50021 + ... + 54276.

It is an arithmetic number, because the mean of its divisors is an integer number (12932952).

Almost surely, 2221944016 is an apocalyptic number.

It is an amenable number.

221944016 is an abundant number, since it is smaller than the sum of its proper divisors (295374064).

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

221944016 is a wasteful number, since it uses less digits than its factorization.

221944016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104331 (or 104325 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 221944016 is about 14897.7856072639. The cubic root of 221944016 is about 605.4539915941.

The spelling of 221944016 in words is "two hundred twenty-one million, nine hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 104297 208594 417188 730079 834376 1460158 1668752 1981643 2920316 3963286 5840632 7926572 11681264 13871501 15853144 27743002 31706288 55486004 110972008 221944016