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2213101200 = 243529911861
BaseRepresentation
bin1000001111101001…
…0011111010010000
312201020100012010010
42003322103322100
514013023214300
61003334234520
7105562023042
oct20372237220
95636305103
102213101200
11a36268762
125191b5a40
1329366a94b
1416dccba92
15ce458a50
hex83e93e90

2213101200 has 120 divisors (see below), whose sum is σ = 7100267776. Its totient is φ = 589248000.

The previous prime is 2213101183. The next prime is 2213101277. The reversal of 2213101200 is 21013122.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 1188270 + ... + 1190130.

Almost surely, 22213101200 is an apocalyptic number.

2213101200 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 2213101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550133888).

2213101200 is an abundant number, since it is smaller than the sum of its proper divisors (4887166576).

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

2213101200 is a wasteful number, since it uses less digits than its factorization.

2213101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2213101200 is about 47043.6095553902. The cubic root of 2213101200 is about 1303.1680523936.

Adding to 2213101200 its reverse (21013122), we get a palindrome (2234114322).

The spelling of 2213101200 in words is "two billion, two hundred thirteen million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 991 1200 1861 1982 2973 3722 3964 4955 5583 5946 7444 7928 9305 9910 11166 11892 14865 14888 15856 18610 19820 22332 23784 24775 27915 29730 29776 37220 39640 44664 46525 47568 49550 55830 59460 74325 74440 79280 89328 93050 99100 111660 118920 139575 148650 148880 186100 198200 223320 237840 279150 297300 372200 396400 446640 558300 594600 744400 1116600 1189200 1844251 2233200 3688502 5532753 7377004 9221255 11065506 14754008 18442510 22131012 27663765 29508016 36885020 44262024 46106275 55327530 73770040 88524048 92212550 110655060 138318825 147540080 184425100 221310120 276637650 368850200 442620240 553275300 737700400 1106550600 2213101200