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2243413201000 = 23531926214441
BaseRepresentation
bin100000101001010101110…
…110001101000001101000
321221110122022201122111211
4200221111312031001220
5243224002234413000
64434335414402504
7321036604401136
oct40512566150150
97843568648454
102243413201000
117954762a24a4
12302956660434
13133725b0145a
147a820584756
153d5528ec7ba
hex20a55d8d068

2243413201000 has 96 divisors (see below), whose sum is σ = 5540423620680. Its totient is φ = 850135392000.

The previous prime is 2243413200997. The next prime is 2243413201009. The reversal of 2243413201000 is 1023143422.

It can be written as a sum of positive squares in 4 ways, for example, as 160142431684 + 2083270769316 = 400178^2 + 1443354^2 .

It is not an unprimeable number, because it can be changed into a prime (2243413201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746221 + ... + 3468220.

Almost surely, 22243413201000 is an apocalyptic number.

2243413201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243413201000 is an abundant number, since it is smaller than the sum of its proper divisors (3297010419680).

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

2243413201000 is a wasteful number, since it uses less digits than its factorization.

2243413201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214500 (or 6214467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2243413201000 its reverse (1023143422), we get a palindrome (2244436344422).

The spelling of 2243413201000 in words is "two trillion, two hundred forty-three billion, four hundred thirteen million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 14440 18050 19000 36100 45125 72200 90250 180500 361000 6214441 12428882 24857764 31072205 49715528 62144410 118074379 124288820 155361025 236148758 248577640 310722050 472297516 590371895 621444100 776805125 944595032 1180743790 1242888200 1553610250 2243413201 2361487580 2951859475 3107220500 4486826402 4722975160 5903718950 6214441000 8973652804 11217066005 11807437900 14759297375 17947305608 22434132010 23614875800 29518594750 44868264020 56085330025 59037189500 89736528040 112170660050 118074379000 224341320100 280426650125 448682640200 560853300250 1121706600500 2243413201000