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213234384 = 243112231811
BaseRepresentation
bin11001011010110…
…11001011010000
3112212020102120210
430231123023100
5414042000014
633054204120
75166314406
oct1455331320
9485212523
10213234384
11aa402170
125b4b3640
133523c0bc
1420469476
1513ac0859
hexcb5b2d0

213234384 has 80 divisors (see below), whose sum is σ = 603961344. Its totient is φ = 64291200.

The previous prime is 213234341. The next prime is 213234407. The reversal of 213234384 is 483432312.

213234384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 116839 + ... + 118649.

Almost surely, 2213234384 is an apocalyptic number.

213234384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301980672).

213234384 is an abundant number, since it is smaller than the sum of its proper divisors (390726960).

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

213234384 is a wasteful number, since it uses less digits than its factorization.

213234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2050 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 213234384 is about 14602.5471750650. The cubic root of 213234384 is about 597.4282369185.

Adding to 213234384 its reverse (483432312), we get a palindrome (696666696).

The spelling of 213234384 in words is "two hundred thirteen million, two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 892 1338 1784 1811 2453 2676 3568 3622 4906 5352 5433 7244 7359 9812 10704 10866 14488 14718 19624 19921 21732 28976 29436 39248 39842 43464 58872 59763 79684 86928 117744 119526 159368 239052 318736 403853 478104 807706 956208 1211559 1615412 2423118 3230824 4442383 4846236 6461648 8884766 9692472 13327149 17769532 19384944 26654298 35539064 53308596 71078128 106617192 213234384