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2000022000 = 24353333337
BaseRepresentation
bin111011100110101…
…1110100111110000
312011101101122101220
41313031132213300
513044001201000
6530243225040
7100363622634
oct16715364760
95141348356
102000022000
11936a62149
12479978180
1325b484392
1414d8a2dc4
15ba8b91a0
hex7735e9f0

2000022000 has 80 divisors (see below), whose sum is σ = 6448090272. Its totient is φ = 533337600.

The previous prime is 2000021993. The next prime is 2000022007. The reversal of 2000022000 is 2200002.

It is an interprime number because it is at equal distance from previous prime (2000021993) and next prime (2000022007).

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2000022000 is a modest number, since divided by 22000 gives 2000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2000022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160669 + ... + 172668.

Almost surely, 22000022000 is an apocalyptic number.

2000022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000022000 is an abundant number, since it is smaller than the sum of its proper divisors (4448068272).

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

2000022000 is a wasteful number, since it uses less digits than its factorization.

2000022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333363 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000022000 is about 44721.6055167969. The cubic root of 2000022000 is about 1259.9256695885.

Adding to 2000022000 its reverse (2200002), we get a palindrome (2002222002).

The spelling of 2000022000 in words is "two billion, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 333337 666674 1000011 1333348 1666685 2000022 2666696 3333370 4000044 5000055 5333392 6666740 8000088 8333425 10000110 13333480 16000176 16666850 20000220 25000275 26666960 33333700 40000440 41667125 50000550 66667400 80000880 83334250 100001100 125001375 133334800 166668500 200002200 250002750 333337000 400004400 500005500 666674000 1000011000 2000022000