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2231020200 = 2335217920773
BaseRepresentation
bin1000010011111010…
…1010101010101000
312202111001120100210
42010332222222220
514032120121300
61005214301120
7106200234033
oct20476525250
95674046323
102231020200
11a45397552
125231b77a0
132972a2ac6
1417243401a
15d0ce8050
hex84faaaa8

2231020200 has 96 divisors (see below), whose sum is σ = 6955135200. Its totient is φ = 591586560.

The previous prime is 2231020193. The next prime is 2231020201. The reversal of 2231020200 is 20201322.

It is a super-3 number, since 3×22310202003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2231020201) 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, 97014 + ... + 117786.

It is an arithmetic number, because the mean of its divisors is an integer number (72449325).

Almost surely, 22231020200 is an apocalyptic number.

2231020200 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 2231020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477567600).

2231020200 is an abundant number, since it is smaller than the sum of its proper divisors (4724115000).

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

2231020200 is a wasteful number, since it uses less digits than its factorization.

2231020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2231020200 is about 47233.6765454480. The cubic root of 2231020200 is about 1306.6757585905.

Adding to 2231020200 its reverse (20201322), we get a palindrome (2251221522).

The spelling of 2231020200 in words is "two billion, two hundred thirty-one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 300 358 537 600 716 895 1074 1432 1790 2148 2685 3580 4296 4475 5370 7160 8950 10740 13425 17900 20773 21480 26850 35800 41546 53700 62319 83092 103865 107400 124638 166184 207730 249276 311595 415460 498552 519325 623190 830920 1038650 1246380 1557975 2077300 2492760 3115950 3718367 4154600 6231900 7436734 11155101 12463800 14873468 18591835 22310202 29746936 37183670 44620404 55775505 74367340 89240808 92959175 111551010 148734680 185918350 223102020 278877525 371836700 446204040 557755050 743673400 1115510100 2231020200