Search a number
-
+
221313204 = 22327317923
BaseRepresentation
bin11010011000011…
…11100010110100
3120102102212122100
431030033202310
5423124010304
633543302100
75325063000
oct1514174264
9512385570
10221313204
11103a1a982
126214a930
1336b0a378
142156d700
1514669439
hexd30f8b4

221313204 has 72 divisors (see below), whose sum is σ = 652433600. Its totient is φ = 63228816.

The previous prime is 221313193. The next prime is 221313227. The reversal of 221313204 is 402313122.

221313204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387 + ... + 21309.

Almost surely, 2221313204 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 221313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326216800).

221313204 is an abundant number, since it is smaller than the sum of its proper divisors (431120396).

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

221313204 is a wasteful number, since it uses less digits than its factorization.

221313204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17954 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221313204 is about 14876.5992081524. The cubic root of 221313204 is about 604.8798377114.

Adding to 221313204 its reverse (402313122), we get a palindrome (623626326).

The spelling of 221313204 in words is "two hundred twenty-one million, three hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 17923 35846 53769 71692 107538 125461 161307 215076 250922 322614 376383 501844 645228 752766 878227 1129149 1505532 1756454 2258298 2634681 3512908 4516596 5269362 6147589 7904043 10538724 12295178 15808086 18442767 24590356 31616172 36885534 55328301 73771068 110656602 221313204