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2020221000 = 23345372509
BaseRepresentation
bin111100001101010…
…0010000001001000
312012210101212020000
41320122202001020
513114134033000
6532244203000
7101030411100
oct17032420110
95183355200
102020221000
119473a8a36
12484699460
13262707255
14152440200
15bc559000
hex786a2048

2020221000 has 480 divisors, whose sum is σ = 8230879800. Its totient is φ = 460857600.

The previous prime is 2020220987. The next prime is 2020221011. The reversal of 2020221000 is 1220202.

It can be written as a sum of positive squares in 4 ways, for example, as 922093956 + 1098127044 = 30366^2 + 33138^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968746 + ... + 3969254.

Almost surely, 22020221000 is an apocalyptic number.

2020221000 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 2020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115439900).

2020221000 is an abundant number, since it is smaller than the sum of its proper divisors (6210658800).

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

2020221000 is a wasteful number, since it uses less digits than its factorization.

2020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 526 counting only the distinct ones).

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

The square root of 2020221000 is about 44946.8686339772. The cubic root of 2020221000 is about 1264.1529634490.

Adding to 2020221000 its reverse (1220202), we get a palindrome (2021441202).

The spelling of 2020221000 in words is "two billion, twenty million, two hundred twenty-one thousand".