Search a number
-
+
2244240044200 = 2352711145729873
BaseRepresentation
bin100000101010000111001…
…000010111000010101000
321221112202221120122011001
4200222013020113002220
5243232200422403300
64434553432444344
7321066234424540
oct40520710270250
97845687518131
102244240044200
1179585aaa7a90
12302b475496b4
131338281c249b
147a89c2da320
153d5a02c816a
hex20a872170a8

2244240044200 has 96 divisors (see below), whose sum is σ = 6505381575360. Its totient is φ = 699503385600.

The previous prime is 2244240044177. The next prime is 2244240044203. The reversal of 2244240044200 is 24400424422.

It is a super-2 number, since 2×22442400442002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2244240044203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72849537 + ... + 72880336.

It is an arithmetic number, because the mean of its divisors is an integer number (67764391410).

Almost surely, 22244240044200 is an apocalyptic number.

2244240044200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244240044200 is an abundant number, since it is smaller than the sum of its proper divisors (4261141531160).

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

2244240044200 is a wasteful number, since it uses less digits than its factorization.

2244240044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145729907 (or 145729898 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2244240044200 its reverse (24400424422), we get a palindrome (2268640468622).

The spelling of 2244240044200 in words is "two trillion, two hundred forty-four billion, two hundred forty million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 145729873 291459746 582919492 728649365 1020109111 1165838984 1457298730 1603028603 2040218222 2914597460 3206057206 3643246825 4080436444 5100545555 5829194920 6412114412 7286493650 8015143015 8160872888 10201091110 11221200221 12824228824 14572987300 16030286030 20402182220 22442400442 25502727775 29145974600 32060572060 40075715075 40804364440 44884800884 51005455550 56106001105 64121144120 80151430150 89769601768 102010911100 112212002210 160302860300 204021822200 224424004420 280530005525 320605720600 448848008840 561060011050 1122120022100 2244240044200