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220031103200 = 25524342115193
BaseRepresentation
bin1100110011101011100…
…0000011000011100000
3210000221100100011022112
43030322320003003200
512101110430300300
6245025250054452
721616401342536
oct3147270030340
9700840304275
10220031103200
1185350904547
1236787b7a428
1317997296c6c
14a914582156
155acbcd5e35
hex333ae030e0

220031103200 has 144 divisors (see below), whose sum is σ = 550984640976. Its totient is φ = 85755801600.

The previous prime is 220031103181. The next prime is 220031103223. The reversal of 220031103200 is 2301130022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14474804 + ... + 14489996.

It is an arithmetic number, because the mean of its divisors is an integer number (3826282229).

Almost surely, 2220031103200 is an apocalyptic number.

220031103200 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 220031103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275492320488).

220031103200 is an abundant number, since it is smaller than the sum of its proper divisors (330953537776).

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

220031103200 is a wasteful number, since it uses less digits than its factorization.

220031103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 220031103200 its reverse (2301130022), we get a palindrome (222332233222).

The spelling of 220031103200 in words is "two hundred twenty billion, thirty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 421 430 688 800 842 860 1075 1376 1684 1720 2105 2150 3368 3440 4210 4300 6736 6880 8420 8600 10525 13472 15193 16840 17200 18103 21050 30386 33680 34400 36206 42100 60772 67360 72412 75965 84200 90515 121544 144824 151930 168400 181030 243088 289648 303860 336800 362060 379825 452575 486176 579296 607720 653299 724120 759650 905150 1215440 1306598 1448240 1519300 1810300 2430880 2613196 2896480 3038600 3266495 3620600 5226392 6077200 6396253 6532990 7241200 10452784 12154400 12792506 13065980 14482400 16332475 20905568 25585012 26131960 31981265 32664950 51170024 52263920 63962530 65329900 102340048 104527840 127925060 130659800 159906325 204680096 255850120 261319600 275038879 319812650 511700240 522639200 550077758 639625300 1023400480 1100155516 1279250600 1375194395 2200311032 2558501200 2750388790 4400622064 5117002400 5500777580 6875971975 8801244128 11001555160 13751943950 22003110320 27503887900 44006220640 55007775800 110015551600 220031103200