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2206231100 = 2252174330181
BaseRepresentation
bin1000001110000000…
…0110101000111100
312200202102011002222
42003200012220330
514004243343400
61002531104512
7105446440433
oct20340065074
95622364088
102206231100
11a323a6097
12516a42138
132921038b8
1416d02011a
15cda4d185
hex83806a3c

2206231100 has 72 divisors (see below), whose sum is σ = 5187199248. Its totient is φ = 811238400.

The previous prime is 2206231091. The next prime is 2206231123. The reversal of 2206231100 is 11326022.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 58010 + ... + 88190.

It is an arithmetic number, because the mean of its divisors is an integer number (72044434).

Almost surely, 22206231100 is an apocalyptic number.

2206231100 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 2206231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593599624).

2206231100 is an abundant number, since it is smaller than the sum of its proper divisors (2980968148).

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

2206231100 is a wasteful number, since it uses less digits than its factorization.

2206231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30255 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2206231100 is about 46970.5343806093. The cubic root of 2206231100 is about 1301.8181856751.

Adding to 2206231100 its reverse (11326022), we get a palindrome (2217557122).

The spelling of 2206231100 in words is "two billion, two hundred six million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 43 50 68 85 86 100 170 172 215 340 425 430 731 850 860 1075 1462 1700 2150 2924 3655 4300 7310 14620 18275 30181 36550 60362 73100 120724 150905 301810 513077 603620 754525 1026154 1297783 1509050 2052308 2565385 2595566 3018100 5130770 5191132 6488915 10261540 12826925 12977830 22062311 25653850 25955660 32444575 44124622 51307700 64889150 88249244 110311555 129778300 220623110 441246220 551557775 1103115550 2206231100