Search a number
-
+
2204855940 = 2235723592089
BaseRepresentation
bin1000001101101011…
…0110111010000100
312200122211021202010
42003122312322010
514003420342230
61002441414220
7105431652300
oct20332667204
95618737663
102204855940
11a316469a1
1251649a370
13291a419b1
1416cb82d00
15cd87a9b0
hex836b6e84

2204855940 has 144 divisors (see below), whose sum is σ = 7204982400. Its totient is φ = 502322688.

The previous prime is 2204855927. The next prime is 2204855977. The reversal of 2204855940 is 495584022.

It is a super-2 number, since 2×22048559402 = 9722779432306567200, which contains 22 as substring.

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, 1054416 + ... + 1056504.

It is an arithmetic number, because the mean of its divisors is an integer number (50034600).

Almost surely, 22204855940 is an apocalyptic number.

2204855940 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 2204855940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602491200).

2204855940 is an abundant number, since it is smaller than the sum of its proper divisors (5000126460).

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

2204855940 is a wasteful number, since it uses less digits than its factorization.

2204855940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2204855940 is about 46955.8935598078. The cubic root of 2204855940 is about 1301.5476518561.

The spelling of 2204855940 in words is "two billion, two hundred four million, eight hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 359 420 490 588 718 735 980 1077 1436 1470 1795 2089 2154 2513 2940 3590 4178 4308 5026 5385 6267 7180 7539 8356 10052 10445 10770 12534 12565 14623 15078 17591 20890 21540 25068 25130 29246 30156 31335 35182 37695 41780 43869 50260 52773 58492 62670 70364 73115 75390 87738 87955 102361 105546 125340 146230 150780 175476 175910 204722 211092 219345 263865 292460 307083 351820 409444 438690 511805 527730 614166 749951 877380 1023610 1055460 1228332 1499902 1535415 2047220 2249853 2999804 3070830 3749755 4499706 5249657 6141660 7499510 8999412 10499314 11249265 14999020 15748971 20998628 22498530 26248285 31497942 36747599 44997060 52496570 62995884 73495198 78744855 104993140 110242797 146990396 157489710 183737995 220485594 314979420 367475990 440971188 551213985 734951980 1102427970 2204855940