Search a number
-
+
221242116 = 223101277659
BaseRepresentation
bin11010010111111…
…10001100000100
3120102022021010110
431023332030010
5423114221431
633541553020
75324345514
oct1513761404
9512267113
10221242116
11103981527
1262115770
1336ab3bc4
1421551844
1514653346
hexd2fe304

221242116 has 48 divisors (see below), whose sum is σ = 524018880. Its totient is φ = 72643200.

The previous prime is 221242103. The next prime is 221242127. The reversal of 221242116 is 611242122.

221242116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221242092 and 221242101.

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, 335395 + ... + 336053.

It is an arithmetic number, because the mean of its divisors is an integer number (10917060).

Almost surely, 2221242116 is an apocalyptic number.

It is an amenable number.

221242116 is an abundant number, since it is smaller than the sum of its proper divisors (302776764).

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

221242116 is a wasteful number, since it uses less digits than its factorization.

221242116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1042 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 221242116 is about 14874.2097605217. The cubic root of 221242116 is about 604.8150663046.

Adding to 221242116 its reverse (611242122), we get a palindrome (832484238).

The spelling of 221242116 in words is "two hundred twenty-one million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 101 202 277 303 404 554 606 659 831 1108 1212 1318 1662 1977 2636 3324 3954 7908 27977 55954 66559 83931 111908 133118 167862 182543 199677 266236 335724 365086 399354 547629 730172 798708 1095258 2190516 18436843 36873686 55310529 73747372 110621058 221242116