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213244304 = 24713167877
BaseRepresentation
bin11001011010111…
…01100110010000
3112212020221012012
430231131212100
5414042304204
633054322052
75166355340
oct1455354620
9485227165
10213244304
11aa409669
125b4b9328
1335243780
142046cd20
1513ac376e
hexcb5d990

213244304 has 80 divisors (see below), whose sum is σ = 512133888. Its totient is φ = 83759616.

The previous prime is 213244237. The next prime is 213244313. The reversal of 213244304 is 403442312.

213244304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213244304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242714 + ... + 243590.

Almost surely, 2213244304 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 213244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256066944).

213244304 is an abundant number, since it is smaller than the sum of its proper divisors (298889584).

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

213244304 is a wasteful number, since it uses less digits than its factorization.

213244304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 213244304 is about 14602.8868378824. The cubic root of 213244304 is about 597.4375012095.

Adding to 213244304 its reverse (403442312), we get a palindrome (616686616).

The spelling of 213244304 in words is "two hundred thirteen million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 167 182 208 334 364 668 728 877 1169 1336 1456 1754 2171 2338 2672 3508 4342 4676 6139 7016 8684 9352 11401 12278 14032 15197 17368 18704 22802 24556 30394 34736 45604 49112 60788 79807 91208 98224 121576 146459 159614 182416 243152 292918 319228 585836 638456 1025213 1171672 1276912 1903967 2050426 2343344 3807934 4100852 7615868 8201704 13327769 15231736 16403408 26655538 30463472 53311076 106622152 213244304