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2243205100 = 2252297091091
BaseRepresentation
bin1000010110110100…
…1001011111101100
312210022222121220101
42011231021133230
514043230030400
61010331400444
7106405633363
oct20555113754
95708877811
102243205100
11a5125a214
125272b3124
1329997acc6
14173cc67da
15d1e0356a
hex85b497ec

2243205100 has 72 divisors (see below), whose sum is σ = 5047333200. Its totient is φ = 864326400.

The previous prime is 2243205077. The next prime is 2243205109. The reversal of 2243205100 is 15023422.

It is not an unprimeable number, because it can be changed into a prime (2243205109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055555 + ... + 2056645.

It is an arithmetic number, because the mean of its divisors is an integer number (70101850).

Almost surely, 22243205100 is an apocalyptic number.

2243205100 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 2243205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523666600).

2243205100 is an abundant number, since it is smaller than the sum of its proper divisors (2804128100).

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

2243205100 is a wasteful number, since it uses less digits than its factorization.

2243205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2243205100 is about 47362.4862100798. The cubic root of 2243205100 is about 1309.0502799218.

Adding to 2243205100 its reverse (15023422), we get a palindrome (2258228522).

The spelling of 2243205100 in words is "two billion, two hundred forty-three million, two hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 709 725 1091 1418 1450 2182 2836 2900 3545 4364 5455 7090 10910 14180 17725 20561 21820 27275 31639 35450 41122 54550 63278 70900 82244 102805 109100 126556 158195 205610 316390 411220 514025 632780 773519 790975 1028050 1547038 1581950 2056100 3094076 3163900 3867595 7735190 15470380 19337975 22432051 38675950 44864102 77351900 89728204 112160255 224320510 448641020 560801275 1121602550 2243205100