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2243441000 = 23532279883
BaseRepresentation
bin1000010110111000…
…0011000101101000
312210100102121111102
42011232003011220
514043310103000
61010340420532
7106410635213
oct20556030550
95710377442
102243441000
11a51400479
125273a7748
13299a314a8
14173d4877a
15d1e4d3d5
hex85b83168

2243441000 has 64 divisors (see below), whose sum is σ = 5273311680. Its totient is φ = 893332800.

The previous prime is 2243440963. The next prime is 2243441003. The reversal of 2243441000 is 1443422.

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

It is not an unprimeable number, because it can be changed into a prime (2243441003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222059 + ... + 231941.

It is an arithmetic number, because the mean of its divisors is an integer number (82395495).

Almost surely, 22243441000 is an apocalyptic number.

2243441000 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 2243441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636655840).

2243441000 is an abundant number, since it is smaller than the sum of its proper divisors (3029870680).

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

2243441000 is a wasteful number, since it uses less digits than its factorization.

2243441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2243441000 is about 47364.9765121867. The cubic root of 2243441000 is about 1309.0961657746.

Adding to 2243441000 its reverse (1443422), we get a palindrome (2244884422).

The spelling of 2243441000 in words is "two billion, two hundred forty-three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 227 250 454 500 908 1000 1135 1816 2270 4540 5675 9080 9883 11350 19766 22700 28375 39532 45400 49415 56750 79064 98830 113500 197660 227000 247075 395320 494150 988300 1235375 1976600 2243441 2470750 4486882 4941500 8973764 9883000 11217205 17947528 22434410 44868820 56086025 89737640 112172050 224344100 280430125 448688200 560860250 1121720500 2243441000