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2241742000 = 24531120871
BaseRepresentation
bin1000010110011110…
…0100010010110000
312210020020021220111
42011213210102300
514042341221000
61010240151104
7106360330651
oct20547442260
95706207814
102241742000
11a5044aa43
12526908494
13299588074
14173a25528
15d1c14cba
hex859e44b0

2241742000 has 40 divisors (see below), whose sum is σ = 5420536992. Its totient is φ = 896696000.

The previous prime is 2241741973. The next prime is 2241742039. The reversal of 2241742000 is 2471422.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 558436 + ... + 562435.

Almost surely, 22241742000 is an apocalyptic number.

2241742000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241742000 is an abundant number, since it is smaller than the sum of its proper divisors (3178794992).

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

2241742000 is a wasteful number, since it uses less digits than its factorization.

2241742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120894 (or 1120878 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2241742000 is about 47347.0379221341. The cubic root of 2241742000 is about 1308.7656146128.

The spelling of 2241742000 in words is "two billion, two hundred forty-one million, seven 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 1120871 2241742 4483484 5604355 8966968 11208710 17933936 22417420 28021775 44834840 56043550 89669680 112087100 140108875 224174200 280217750 448348400 560435500 1120871000 2241742000