Search a number
-
+
212343456 = 25313229743
BaseRepresentation
bin11001010100000…
…01101010100000
3112210120011110110
430222001222200
5413324442311
633023131320
75155614063
oct1452015240
9483504413
10212343456
11a9953866
125b143b40
1334cb9720
14202b68da
15139968a6
hexca81aa0

212343456 has 96 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 64963584.

The previous prime is 212343433. The next prime is 212343457. The reversal of 212343456 is 654343212.

212343456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (212343457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285421 + ... + 286163.

It is an arithmetic number, because the mean of its divisors is an integer number (6288660).

Almost surely, 2212343456 is an apocalyptic number.

212343456 is a gapful number since it is divisible by the number (26) 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 212343456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

212343456 is an abundant number, since it is smaller than the sum of its proper divisors (391367904).

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

212343456 is a wasteful number, since it uses less digits than its factorization.

212343456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 212343456 is about 14572.0093329643. The cubic root of 212343456 is about 596.5950245675.

Adding to 212343456 its reverse (654343212), we get a palindrome (866686668).

The spelling of 212343456 in words is "two hundred twelve million, three hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 229 312 416 458 624 687 743 916 1248 1374 1486 1832 2229 2748 2972 2977 3664 4458 5496 5944 5954 7328 8916 8931 9659 10992 11888 11908 17832 17862 19318 21984 23776 23816 28977 35664 35724 38636 47632 57954 71328 71448 77272 95264 115908 142896 154544 170147 231816 285792 309088 340294 463632 510441 680588 927264 1020882 1361176 2041764 2211911 2722352 4083528 4423822 5444704 6635733 8167056 8847644 13271466 16334112 17695288 26542932 35390576 53085864 70781152 106171728 212343456