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221066868 = 2231112713187
BaseRepresentation
bin11010010110100…
…11011001110100
3120101222100201210
431023103121310
5423043114433
633534121420
75323015551
oct1513233164
9511870653
10221066868
111038718a0
1262050270
1336a521c9
1421507a28
151461b463
hexd2d3674

221066868 has 48 divisors (see below), whose sum is σ = 567189504. Its totient is φ = 66457440.

The previous prime is 221066831. The next prime is 221066873. The reversal of 221066868 is 868660122.

221066868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10171 + ... + 23357.

It is an arithmetic number, because the mean of its divisors is an integer number (11816448).

Almost surely, 2221066868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221066868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283594752).

221066868 is an abundant number, since it is smaller than the sum of its proper divisors (346122636).

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

221066868 is a wasteful number, since it uses less digits than its factorization.

221066868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 221066868 is about 14868.3175914426. The cubic root of 221066868 is about 604.6553308515.

The spelling of 221066868 in words is "two hundred twenty-one million, sixty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 8382 13187 16764 26374 39561 52748 79122 145057 158244 290114 435171 580228 870342 1674749 1740684 3349498 5024247 6698996 10048494 18422239 20096988 36844478 55266717 73688956 110533434 221066868