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2243813200 = 245237151609
BaseRepresentation
bin1000010110111101…
…1101111101010000
312210101010112001121
42011233131331100
514043404010300
61010352412024
7106414045306
oct20557357520
95711115047
102243813200
11a51635082
12527547014
13299b31a25
14174004276
15d1ec381a
hex85bddf50

2243813200 has 60 divisors (see below), whose sum is σ = 5536493980. Its totient is φ = 873262080.

The previous prime is 2243813179. The next prime is 2243813249. The reversal of 2243813200 is 23183422.

It can be written as a sum of positive squares in 6 ways, for example, as 70761744 + 2173051456 = 8412^2 + 46616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61005 + ... + 90604.

Almost surely, 22243813200 is an apocalyptic number.

2243813200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243813200 is an abundant number, since it is smaller than the sum of its proper divisors (3292680780).

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

2243813200 is a wasteful number, since it uses less digits than its factorization.

2243813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151664 (or 151653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2243813200 is about 47368.9054127283. The cubic root of 2243813200 is about 1309.1685573448.

Adding to 2243813200 its reverse (23183422), we get a palindrome (2266996622).

The spelling of 2243813200 in words is "two billion, two hundred forty-three million, eight hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 148 185 200 296 370 400 592 740 925 1480 1850 2960 3700 7400 14800 151609 303218 606436 758045 1212872 1516090 2425744 3032180 3790225 5609533 6064360 7580450 11219066 12128720 15160900 22438132 28047665 30321800 44876264 56095330 60643600 89752528 112190660 140238325 224381320 280476650 448762640 560953300 1121906600 2243813200