Search a number
-
+
2220634000 = 245313223383
BaseRepresentation
bin1000010001011100…
…0010111110010000
312201202111220011201
42010113002332100
514021440242000
61004203520544
7106013035414
oct20427027620
95652456151
102220634000
11a3a543212
1251b829154
132950a7520
14170cccd44
15cee4596a
hex845c2f90

2220634000 has 160 divisors (see below), whose sum is σ = 5823627264. Its totient is φ = 814118400.

The previous prime is 2220633979. The next prime is 2220634019. The reversal of 2220634000 is 4360222.

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 31 ways as a sum of consecutive naturals, for example, 5797809 + ... + 5798191.

Almost surely, 22220634000 is an apocalyptic number.

2220634000 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 2220634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911813632).

2220634000 is an abundant number, since it is smaller than the sum of its proper divisors (3602993264).

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

2220634000 is a wasteful number, since it uses less digits than its factorization.

2220634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2220634000 is about 47123.6034275818. The cubic root of 2220634000 is about 1304.6449223080.

Adding to 2220634000 its reverse (4360222), we get a palindrome (2224994222).

The spelling of 2220634000 in words is "two billion, two hundred twenty million, six hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 223 250 260 325 383 400 446 500 520 650 766 892 1000 1040 1115 1300 1532 1625 1784 1915 2000 2230 2600 2899 3064 3250 3568 3830 4460 4979 5200 5575 5798 6128 6500 7660 8920 9575 9958 11150 11596 13000 14495 15320 17840 19150 19916 22300 23192 24895 26000 27875 28990 30640 38300 39832 44600 46384 47875 49790 55750 57980 72475 76600 79664 85409 89200 95750 99580 111500 115960 124475 144950 153200 170818 191500 199160 223000 231920 248950 289900 341636 362375 383000 398320 427045 446000 497900 579800 622375 683272 724750 766000 854090 995800 1110317 1159600 1244750 1366544 1449500 1708180 1991600 2135225 2220634 2489500 2899000 3416360 4270450 4441268 4979000 5551585 5798000 6832720 8540900 8882536 9958000 10676125 11103170 17081800 17765072 21352250 22206340 27757925 34163600 42704500 44412680 55515850 85409000 88825360 111031700 138789625 170818000 222063400 277579250 444126800 555158500 1110317000 2220634000