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220030022320 = 24537173429679
BaseRepresentation
bin1100110011101011001…
…1111011001010110000
3210000221021022020121221
43030322303323022300
512101110141203240
6245025210554424
721616356221353
oct3147263731260
9700837266557
10220030022320
1185350236459
1236787738a14
1317996ca8ca4
14a91438029a
155acbb70a4a
hex333acfb2b0

220030022320 has 80 divisors (see below), whose sum is σ = 528434213760. Its totient is φ = 85138117632.

The previous prime is 220030022299. The next prime is 220030022363. The reversal of 220030022320 is 23220030022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220030022294 and 220030022303.

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, 297241 + ... + 726919.

It is an arithmetic number, because the mean of its divisors is an integer number (6605427672).

Almost surely, 2220030022320 is an apocalyptic number.

220030022320 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 220030022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264217106880).

220030022320 is an abundant number, since it is smaller than the sum of its proper divisors (308404191440).

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

220030022320 is a wasteful number, since it uses less digits than its factorization.

220030022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429902 (or 429896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 220030022320 its reverse (23220030022), we get a palindrome (243250052342).

The spelling of 220030022320 in words is "two hundred twenty billion, thirty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 173 185 296 346 370 592 692 740 865 1384 1480 1730 2768 2960 3460 6401 6920 12802 13840 25604 32005 51208 64010 102416 128020 256040 429679 512080 859358 1718716 2148395 3437432 4296790 6874864 8593580 15898123 17187160 31796246 34374320 63592492 74334467 79490615 127184984 148668934 158981230 254369968 297337868 317962460 371672335 594675736 635924920 743344670 1189351472 1271849840 1486689340 2750375279 2973378680 5500750558 5946757360 11001501116 13751876395 22003002232 27503752790 44006004464 55007505580 110015011160 220030022320