Search a number
-
+
2210002214200 = 2352112731367831
BaseRepresentation
bin100000001010001110011…
…001011001110100111000
321211021101212001122220021
4200022032121121310320
5242202041031323300
64411132213140224
7315444625605304
oct40121631316470
97737355048807
102210002214200
117822906a9610
122b839132a674
1313052cb67791
1478d7110cd04
153c7495ead1a
hex2028e659d38

2210002214200 has 96 divisors (see below), whose sum is σ = 5607436993920. Its totient is φ = 803340720000.

The previous prime is 2210002214137. The next prime is 2210002214213. The reversal of 2210002214200 is 24122000122.

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, 5824285 + ... + 6192115.

It is an arithmetic number, because the mean of its divisors is an integer number (58410802020).

Almost surely, 22210002214200 is an apocalyptic number.

2210002214200 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 2210002214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803718496960).

2210002214200 is an abundant number, since it is smaller than the sum of its proper divisors (3397434779720).

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

2210002214200 is a wasteful number, since it uses less digits than its factorization.

2210002214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370589 (or 370580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2210002214200 its reverse (24122000122), we get a palindrome (2234124214322).

The spelling of 2210002214200 in words is "two trillion, two hundred ten billion, two million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2731 5462 10924 13655 21848 27310 30041 54620 60082 68275 109240 120164 136550 150205 240328 273100 300410 367831 546200 600820 735662 751025 1201640 1471324 1502050 1839155 2942648 3004100 3678310 4046141 6008200 7356620 8092282 9195775 14713240 16184564 18391550 20230705 32369128 36783100 40461410 73566200 80922820 101153525 161845640 202307050 404614100 809228200 1004546461 2009092922 4018185844 5022732305 8036371688 10045464610 11050011071 20090929220 22100022142 25113661525 40181858440 44200044284 50227323050 55250055355 88400088568 100454646100 110500110710 200909292200 221000221420 276250276775 442000442840 552500553550 1105001107100 2210002214200