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213314444 = 227519167
BaseRepresentation
bin11001011011011…
…10101110001100
3112212101111101222
430231232232030
5414102030234
633100022512
75200100000
oct1455565614
9485344358
10213314444
11aa457332
125b531a38
1335269685
142048a700
1513ad942e
hexcb6eb8c

213314444 has 72 divisors (see below), whose sum is σ = 461180160. Its totient is φ = 86090256.

The previous prime is 213314383. The next prime is 213314447. The reversal of 213314444 is 444413312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277249 + ... + 1277415.

It is an arithmetic number, because the mean of its divisors is an integer number (6405280).

Almost surely, 2213314444 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 213314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230590080).

213314444 is an abundant number, since it is smaller than the sum of its proper divisors (247865716).

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

213314444 is an equidigital number, since it uses as much as digits as its factorization.

213314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 213314444 is about 14605.2882203673. The cubic root of 213314444 is about 597.5029967812.

Adding to 213314444 its reverse (444413312), we get a palindrome (657727756).

The spelling of 213314444 in words is "two hundred thirteen million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 167 196 266 334 343 532 668 686 931 1169 1372 1862 2338 2401 3173 3724 4676 4802 6346 6517 8183 9604 12692 13034 16366 16807 22211 26068 32732 33614 44422 45619 57281 67228 88844 91238 114562 155477 182476 229124 310954 319333 400967 621908 638666 801934 1088339 1277332 1603868 2176678 2806769 4353356 5613538 7618373 11227076 15236746 30473492 53328611 106657222 213314444