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210223331344 = 241310927493373
BaseRepresentation
bin1100001111001001001…
…0010111100000010000
3202002121211021201122001
43003302102113200100
511421014133100334
6240324131323344
721121346555515
oct3036222274020
9662554251561
10210223331344
1181178654374
12348ab450554
1316a93372470
14a263b7b30c
155705c49714
hex30f2497810

210223331344 has 80 divisors (see below), whose sum is σ = 442955590000. Its totient is φ = 96072542208.

The previous prime is 210223331341. The next prime is 210223331419. The reversal of 210223331344 is 443133322012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 195440400 + 210027890944 = 13980^2 + 458288^2 .

It is not an unprimeable number, because it can be changed into a prime (210223331341) 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, 62323642 + ... + 62327014.

It is an arithmetic number, because the mean of its divisors is an integer number (5536944875).

Almost surely, 2210223331344 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 210223331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221477795000).

210223331344 is an abundant number, since it is smaller than the sum of its proper divisors (232732258656).

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

210223331344 is a wasteful number, since it uses less digits than its factorization.

210223331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 210223331344 its reverse (443133322012), we get a palindrome (653356653356).

The spelling of 210223331344 in words is "two hundred ten billion, two hundred twenty-three million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2749 2834 3373 5498 5668 6746 10996 11336 13492 21992 22672 26984 35737 43849 43984 53968 71474 87698 142948 175396 285896 299641 350792 367657 571792 599282 701584 735314 1198564 1470628 2397128 2941256 3895333 4779541 4794256 5882512 7790666 9272377 9559082 15581332 18544754 19118164 31162664 37089508 38236328 62325328 74179016 76472656 120540901 148358032 241081802 482163604 964327208 1010689093 1928654416 2021378186 4042756372 8085512744 13138958209 16171025488 26277916418 52555832836 105111665672 210223331344