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2000422220040 = 233255556728389
BaseRepresentation
bin11101000111000010011…
…101001011000100001000
321002020102212022211222100
4131013002131023010020
5230233331042020130
64130551542353400
7264345220213206
oct35070235130410
97066385284870
102000422220040
11701413212a72
1228384142b860
1311683cb8570a
146cb6c99a076
15370800cec60
hex1d1c274b108

2000422220040 has 48 divisors (see below), whose sum is σ = 6501372216300. Its totient is φ = 533445925248.

The previous prime is 2000422220039. The next prime is 2000422220047. The reversal of 2000422220040 is 400222240002.

2000422220040 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 422 + 2 + 200 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1871637414084 + 128784805956 = 1368078^2 + 358866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000422219995 and 2000422220022.

It is not an unprimeable number, because it can be changed into a prime (2000422220047) 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 11 ways as a sum of consecutive naturals, for example, 2778363835 + ... + 2778364554.

Almost surely, 22000422220040 is an apocalyptic number.

2000422220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000422220040 is an abundant number, since it is smaller than the sum of its proper divisors (4500949996260).

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

2000422220040 is a wasteful number, since it uses less digits than its factorization.

2000422220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556728406 (or 5556728399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2000422220040 its reverse (400222240002), we get a palindrome (2400644460042).

The spelling of 2000422220040 in words is "two trillion, four hundred twenty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5556728389 11113456778 16670185167 22226913556 27783641945 33340370334 44453827112 50010555501 55567283890 66680740668 83350925835 100021111002 111134567780 133361481336 166701851670 200042222004 222269135560 250052777505 333403703340 400084444008 500105555010 666807406680 1000211110020 2000422220040