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2230020320 = 255112229503
BaseRepresentation
bin1000010011101011…
…0110100011100000
312202102011202210012
42010322312203200
514031341122240
61005141024052
7106155600653
oct20472664340
95672152705
102230020320
11a44874300
125229b5028
13297012968
1417225389a
15d0b9bb65
hex84eb68e0

2230020320 has 144 divisors (see below), whose sum is σ = 5827762080. Its totient is φ = 805770240.

The previous prime is 2230020319. The next prime is 2230020341. The reversal of 2230020320 is 230200322.

It is a super-2 number, since 2×22300203202 = 9945981255225804800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230020295 and 2230020304.

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, 4433189 + ... + 4433691.

It is an arithmetic number, because the mean of its divisors is an integer number (40470570).

Almost surely, 22230020320 is an apocalyptic number.

2230020320 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 2230020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913881040).

2230020320 is an abundant number, since it is smaller than the sum of its proper divisors (3597741760).

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

2230020320 is a wasteful number, since it uses less digits than its factorization.

2230020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2230020320 is about 47223.0909619436. The cubic root of 2230020320 is about 1306.4805244121.

Adding to 2230020320 its reverse (230200322), we get a palindrome (2460220642).

The spelling of 2230020320 in words is "two billion, two hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 229 242 352 440 458 484 503 605 880 916 968 1006 1145 1210 1760 1832 1936 2012 2290 2420 2515 2519 3664 3872 4024 4580 4840 5030 5038 5533 7328 8048 9160 9680 10060 10076 11066 12595 16096 18320 19360 20120 20152 22132 25190 27665 27709 36640 40240 40304 44264 50380 55330 55418 60863 80480 80608 88528 100760 110660 110836 115187 121726 138545 177056 201520 221320 221672 230374 243452 277090 304315 403040 442640 443344 460748 486904 554180 575935 608630 885280 886688 921496 973808 1108360 1151870 1217260 1267057 1842992 1947616 2216720 2303740 2434520 2534114 3685984 4433440 4607480 4869040 5068228 6335285 9214960 9738080 10136456 12670570 13937627 18429920 20272912 25341140 27875254 40545824 50682280 55750508 69688135 101364560 111501016 139376270 202729120 223002032 278752540 446004064 557505080 1115010160 2230020320