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221306124 = 223131499521
BaseRepresentation
bin11010011000011…
…01110100001100
3120102102111221010
431030031310030
5423123243444
633543205220
75325033234
oct1514156414
9512374833
10221306124
11103a15626
1262146810
1336b07090
142156acc4
15146672b9
hexd30dd0c

221306124 has 48 divisors (see below), whose sum is σ = 559893600. Its totient is φ = 67630080.

The previous prime is 221306089. The next prime is 221306131. The reversal of 221306124 is 421603122.

It is a self number, because there is not a number n which added to its sum of digits gives 221306124.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18484 + ... + 28004.

It is an arithmetic number, because the mean of its divisors is an integer number (11664450).

Almost surely, 2221306124 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 221306124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279946800).

221306124 is an abundant number, since it is smaller than the sum of its proper divisors (338587476).

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

221306124 is a wasteful number, since it uses less digits than its factorization.

221306124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 221306124 is about 14876.3612486387. The cubic root of 221306124 is about 604.8733874337.

Adding to 221306124 its reverse (421603122), we get a palindrome (642909246).

The spelling of 221306124 in words is "two hundred twenty-one million, three hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 5811 7748 9521 11622 19042 23244 28563 38084 57126 114252 123773 247546 371319 495092 742638 1418629 1485276 2837258 4255887 5674516 8511774 17023548 18442177 36884354 55326531 73768708 110653062 221306124