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20244442000 = 245310122221
BaseRepresentation
bin10010110110101010…
…011010101110010000
31221020212111012122011
4102312222122232100
5312430034121000
613144500352304
71314450626536
oct226652325620
957225435564
1020244442000
118649506a02
123b0b9a5694
131ba8222583
14da0956156
157d74532ba
hex4b6a9ab90

20244442000 has 40 divisors (see below), whose sum is σ = 48951065592. Its totient is φ = 8097776000.

The previous prime is 20244441991. The next prime is 20244442007. The reversal of 20244442000 is 24444202.

It can be written as a sum of positive squares in 4 ways, for example, as 578306304 + 19666135696 = 24048^2 + 140236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20244442007) 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 7 ways as a sum of consecutive naturals, for example, 5059111 + ... + 5063110.

Almost surely, 220244442000 is an apocalyptic number.

20244442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20244442000 is an abundant number, since it is smaller than the sum of its proper divisors (28706623592).

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

20244442000 is a wasteful number, since it uses less digits than its factorization.

20244442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122244 (or 10122228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20244442000 its reverse (24444202), we get a palindrome (20268886202).

The spelling of 20244442000 in words is "twenty billion, two hundred forty-four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10122221 20244442 40488884 50611105 80977768 101222210 161955536 202444420 253055525 404888840 506111050 809777680 1012222100 1265277625 2024444200 2530555250 4048888400 5061110500 10122221000 20244442000