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221313222 = 23513231523
BaseRepresentation
bin11010011000011…
…11100011000110
3120102102212200000
431030033203012
5423124010342
633543302130
75325063024
oct1514174306
9512385600
10221313222
11103a1a999
126214a946
1336b0a390
142156d714
151466944c
hexd30f8c6

221313222 has 96 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 65092896.

The previous prime is 221313193. The next prime is 221313227. The reversal of 221313222 is 222313122.

221313222 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 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 = 221313195 and 221313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144553 + ... + 146075.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728).

Almost surely, 2221313222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221313222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).

221313222 is an abundant number, since it is smaller than the sum of its proper divisors (337860666).

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

221313222 is a wasteful number, since it uses less digits than its factorization.

221313222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

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

The square root of 221313222 is about 14876.5998131293. The cubic root of 221313222 is about 604.8798541103.

Adding to 221313222 its reverse (222313122), we get a palindrome (443626344).

The spelling of 221313222 in words is "two hundred twenty-one million, three hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 243 299 351 414 486 598 621 702 897 1053 1242 1523 1794 1863 2106 2691 3046 3159 3726 4569 5382 5589 6318 8073 9138 11178 13707 16146 19799 24219 27414 35029 39598 41121 48438 59397 70058 72657 82242 105087 118794 123363 145314 178191 210174 246726 315261 356382 370089 455377 534573 630522 740178 910754 945783 1069146 1366131 1603719 1891566 2732262 2837349 3207438 4098393 4811157 5674698 8196786 8512047 9622314 12295179 17024094 24590358 36885537 73771074 110656611 221313222