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2003422000 = 24534721313
BaseRepresentation
bin111011101101001…
…1100101100110000
312011121210101022211
41313122130230300
513100334001000
6530444141504
7100434543316
oct16732345460
95147711284
102003422000
11938974668
1247ab37894
1325c0a4b08
1415010a0b6
15bad3b7ba
hex7769cb30

2003422000 has 80 divisors (see below), whose sum is σ = 4947576192. Its totient is φ = 784281600.

The previous prime is 2003421929. The next prime is 2003422019. The reversal of 2003422000 is 2243002.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83344 + ... + 104656.

Almost surely, 22003422000 is an apocalyptic number.

2003422000 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 2003422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473788096).

2003422000 is an abundant number, since it is smaller than the sum of its proper divisors (2944154192).

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

2003422000 is a wasteful number, since it uses less digits than its factorization.

2003422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2003422000 is about 44759.6023217365. The cubic root of 2003422000 is about 1260.6392154289.

Adding to 2003422000 its reverse (2243002), we get a palindrome (2005665002).

The spelling of 2003422000 in words is "two billion, three million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 21313 23500 42626 47000 85252 94000 106565 170504 213130 341008 426260 532825 852520 1001711 1065650 1705040 2003422 2131300 2664125 4006844 4262600 5008555 5328250 8013688 8525200 10017110 10656500 16027376 20034220 21313000 25042775 40068440 42626000 50085550 80136880 100171100 125213875 200342200 250427750 400684400 500855500 1001711000 2003422000