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20020221000 = 233253131371249
BaseRepresentation
bin10010101001010011…
…000101010001001000
31220200020120121020200
4102221103011101020
5312000134033000
613110330452200
71306056033153
oct225123052110
956606517220
1020020221000
11854399039a
123a68894060
131b70937820
14d7cc6ac9a
157c2912500
hex4a94c5448

20020221000 has 384 divisors, whose sum is σ = 73464300000. Its totient is φ = 4888166400.

The previous prime is 20020220999. The next prime is 20020221029. The reversal of 20020221000 is 12202002.

It can be written as a sum of positive squares in 16 ways, for example, as 3178929924 + 16841291076 = 56382^2 + 129774^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 95 ways as a sum of consecutive naturals, for example, 16028376 + ... + 16029624.

Almost surely, 220020221000 is an apocalyptic number.

20020221000 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 20020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36732150000).

20020221000 is an abundant number, since it is smaller than the sum of its proper divisors (53444079000).

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

20020221000 is a wasteful number, since it uses less digits than its factorization.

20020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20020221000 its reverse (12202002), we get a palindrome (20032423002).

The spelling of 20020221000 in words is "twenty billion, twenty million, two hundred twenty-one thousand".