Search a number
-
+
11220223300 = 225211131077333
BaseRepresentation
bin10100111001100011…
…10000010101000100
31001221221211101210221
422130301300111010
5140434334121200
65053212154124
7545022216166
oct123461602504
931857741727
1011220223300
114838583920
122211768944
13109a7428b0
14786238936
1545a09091a
hex29cc70544

11220223300 has 144 divisors (see below), whose sum is σ = 28875776832. Its totient is φ = 3730521600.

The previous prime is 11220223283. The next prime is 11220223319. The reversal of 11220223300 is 332202211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526434 + ... + 1533766.

It is an arithmetic number, because the mean of its divisors is an integer number (200526228).

Almost surely, 211220223300 is an apocalyptic number.

11220223300 is a gapful number since it is divisible by the number (10) 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 11220223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437888416).

11220223300 is an abundant number, since it is smaller than the sum of its proper divisors (17655553532).

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

11220223300 is a wasteful number, since it uses less digits than its factorization.

11220223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11220223300 its reverse (332202211), we get a palindrome (11552425511).

The spelling of 11220223300 in words is "eleven billion, two hundred twenty million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 107 110 130 143 214 220 260 275 286 325 428 535 550 572 650 715 1070 1100 1177 1300 1391 1430 2140 2354 2675 2782 2860 3575 4708 5350 5564 5885 6955 7150 7333 10700 11770 13910 14300 14666 15301 23540 27820 29332 29425 30602 34775 36665 58850 61204 69550 73330 76505 80663 95329 117700 139100 146660 153010 161326 183325 190658 306020 322652 366650 381316 382525 403315 476645 733300 765050 784631 806630 953290 1048619 1530100 1569262 1613260 1906580 2016575 2097238 2383225 3138524 3923155 4033150 4194476 4766450 5243095 7846310 8066300 8630941 9532900 10200203 10486190 15692620 17261882 19615775 20400406 20972380 26215475 34523764 39231550 40800812 43154705 51001015 52430950 78463100 86309410 102002030 104861900 112202233 172618820 204004060 215773525 224404466 255005075 431547050 448808932 510010150 561011165 863094100 1020020300 1122022330 2244044660 2805055825 5610111650 11220223300