[go: up one dir, main page]

Search a number
-
+
2043423200 = 255271328069
BaseRepresentation
bin111100111001100…
…0010100111100000
312021102001122122202
41321303002213200
513141104020300
6534433352332
7101431545020
oct17163024740
95242048582
102043423200
11959506105
124904086a8
1326746c070
1415555da80
15be5ddad5
hex79cc29e0

2043423200 has 144 divisors (see below), whose sum is σ = 6139919520. Its totient is φ = 646686720.

The previous prime is 2043423133. The next prime is 2043423223. The reversal of 2043423200 is 23243402.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 58766 + ... + 86834.

It is an arithmetic number, because the mean of its divisors is an integer number (42638330).

Almost surely, 22043423200 is an apocalyptic number.

2043423200 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 2043423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069959760).

2043423200 is an abundant number, since it is smaller than the sum of its proper divisors (4096496320).

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

2043423200 is a wasteful number, since it uses less digits than its factorization.

2043423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28109 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2043423200 is about 45204.2387393041. The cubic root of 2043423200 is about 1268.9741441940.

Adding to 2043423200 its reverse (23243402), we get a palindrome (2066666602).

It can be divided in two parts, 20434 and 23200, that added together give a palindrome (43634).

The spelling of 2043423200 in words is "two billion, forty-three million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 28069 36400 56138 72800 112276 140345 196483 224552 280690 364897 392966 449104 561380 701725 729794 785932 898208 982415 1122760 1403450 1459588 1571864 1824485 1964830 2245520 2554279 2806900 2919176 3143728 3648970 3929660 4491040 4912075 5108558 5613800 5838352 6287456 7297940 7859320 9122425 9824150 10217116 11227600 11676704 12771395 14595880 15718640 18244850 19648300 20434232 22455200 25542790 29191760 31437280 36489700 39296600 40868464 51085580 58383520 63856975 72979400 78593200 81736928 102171160 127713950 145958800 157186400 204342320 255427900 291917600 408684640 510855800 1021711600 2043423200