Search a number
-
+
2200013100 = 2232527134429
BaseRepresentation
bin1000001100100001…
…1000100100101100
312200022201020121200
42003020120210230
514001200404400
61002145525500
7105342542235
oct20310304454
95608636550
102200013100
11a2993944a
12514943890
13290a375cc
1416c28208c
15cd220b00
hex8321892c

2200013100 has 108 divisors (see below), whose sum is σ = 6993146160. Its totient is φ = 578390400.

The previous prime is 2200013099. The next prime is 2200013113. The reversal of 2200013100 is 13100022.

It is a happy number.

It is a super-2 number, since 2×22000131002 = 9680115280343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46686 + ... + 81114.

Almost surely, 22200013100 is an apocalyptic number.

2200013100 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 2200013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496573080).

2200013100 is an abundant number, since it is smaller than the sum of its proper divisors (4793133060).

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

2200013100 is a wasteful number, since it uses less digits than its factorization.

2200013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34520 (or 34510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2200013100 is about 46904.2972444956. The cubic root of 2200013100 is about 1300.5940283232.

Adding to 2200013100 its reverse (13100022), we get a palindrome (2213113122).

The spelling of 2200013100 in words is "two billion, two hundred million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 34429 63900 68858 103287 137716 172145 206574 309861 344290 413148 516435 619722 688580 860725 1032870 1239444 1549305 1721450 2065740 2444459 2582175 3098610 3442900 4888918 5164350 6197220 7333377 7746525 9777836 10328700 12222295 14666754 15493050 22000131 24444590 29333508 30986100 36666885 44000262 48889180 61111475 73333770 88000524 110000655 122222950 146667540 183334425 220001310 244445900 366668850 440002620 550003275 733337700 1100006550 2200013100