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231122213200 = 24528948713331
BaseRepresentation
bin1101011100111111110…
…1010001100101010000
3211002120022012220222101
43113033331101211100
512241314241310300
6254102011050144
722461265253314
oct3271775214520
9732508186871
10231122213200
118a02251165a
1238962440954
1318a44041848
14b2875abb44
15602a870b6a
hex35cff51950

231122213200 has 120 divisors (see below), whose sum is σ = 562705323840. Its totient is φ = 91215590400.

The previous prime is 231122213131. The next prime is 231122213207. The reversal of 231122213200 is 2312221132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231122213207) 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, 17330535 + ... + 17343865.

It is an arithmetic number, because the mean of its divisors is an integer number (4689211032).

Almost surely, 2231122213200 is an apocalyptic number.

231122213200 is a gapful number since it is divisible by the number (20) 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 231122213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281352661920).

231122213200 is an abundant number, since it is smaller than the sum of its proper divisors (331583110640).

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

231122213200 is a wasteful number, since it uses less digits than its factorization.

231122213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13925 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 231122213200 its reverse (2312221132), we get a palindrome (233434434332).

The spelling of 231122213200 in words is "two hundred thirty-one billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 487 712 890 974 1424 1780 1948 2225 2435 3560 3896 4450 4870 7120 7792 8900 9740 12175 13331 17800 19480 24350 26662 35600 38960 43343 48700 53324 66655 86686 97400 106648 133310 173372 194800 213296 216715 266620 333275 346744 433430 533240 666550 693488 866860 1066480 1083575 1186459 1333100 1733720 2167150 2372918 2666200 3467440 4334300 4745836 5332400 5932295 6492197 8668600 9491672 11864590 12984394 17337200 18983344 23729180 25968788 29661475 32460985 47458360 51937576 59322950 64921970 94916720 103875152 118645900 129843940 162304925 237291800 259687880 324609850 474583600 519375760 577805533 649219700 1155611066 1298439400 2311222132 2596878800 2889027665 4622444264 5778055330 9244888528 11556110660 14445138325 23112221320 28890276650 46224442640 57780553300 115561106600 231122213200