Search a number
-
+
221005230 = 23529534793
BaseRepresentation
bin11010010110001…
…00010110101110
3120101212020011220
431023010112232
5423034131410
633532524210
75322341055
oct1513042656
9511766156
10221005230
1110382a556
1262020666
1336a30134
14214cd39c
1514608070
hexd2c45ae

221005230 has 64 divisors (see below), whose sum is σ = 559172160. Its totient is φ = 55817216.

The previous prime is 221005223. The next prime is 221005241. The reversal of 221005230 is 32500122.

221005230 is digitally balanced in base 2 and base 3, because in such bases 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43714 + ... + 48506.

It is an arithmetic number, because the mean of its divisors is an integer number (8737065).

Almost surely, 2221005230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221005230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586080).

221005230 is an abundant number, since it is smaller than the sum of its proper divisors (338166930).

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

221005230 is a wasteful number, since it uses less digits than its factorization.

221005230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 221005230 is about 14866.2446502134. The cubic root of 221005230 is about 604.5991288374.

Adding to 221005230 its reverse (32500122), we get a palindrome (253505352).

The spelling of 221005230 in words is "two hundred twenty-one million, five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 87 106 145 159 174 265 290 318 435 530 795 870 1537 1590 3074 4611 4793 7685 9222 9586 14379 15370 23055 23965 28758 46110 47930 71895 138997 143790 254029 277994 416991 508058 694985 762087 833982 1270145 1389970 1524174 2084955 2540290 3810435 4169910 7366841 7620870 14733682 22100523 36834205 44201046 73668410 110502615 221005230