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2200342100 = 2252112936827
BaseRepresentation
bin1000001100100110…
…1000111001010100
312200100022221220212
42003021220321110
514001241421400
61002200544552
7105345412355
oct20311507124
95610287825
102200342100
11a2a043650
12514a82158
13290b21298
1416c329d2c
15cd288335
hex83268e54

2200342100 has 72 divisors (see below), whose sum is σ = 5227352928. Its totient is φ = 797276800.

The previous prime is 2200342093. The next prime is 2200342171. The reversal of 2200342100 is 12430022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318887 + ... + 325713.

It is an arithmetic number, because the mean of its divisors is an integer number (72602124).

Almost surely, 22200342100 is an apocalyptic number.

2200342100 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 2200342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613676464).

2200342100 is an abundant number, since it is smaller than the sum of its proper divisors (3027010828).

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

2200342100 is a wasteful number, since it uses less digits than its factorization.

2200342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2200342100 is about 46907.8042547293. The cubic root of 2200342100 is about 1300.6588573474.

Adding to 2200342100 its reverse (12430022), we get a palindrome (2212772122).

The spelling of 2200342100 in words is "two billion, two hundred million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 1100 1172 1465 2930 3223 5860 6446 6827 7325 12892 13654 14650 16115 27308 29300 32230 34135 64460 68270 75097 80575 136540 150194 161150 170675 300388 322300 341350 375485 682700 750970 1501940 1877425 2000311 3754850 4000622 7509700 8001244 10001555 20003110 22003421 40006220 44006842 50007775 88013684 100015550 110017105 200031100 220034210 440068420 550085525 1100171050 2200342100