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2220201000000 = 263256246689
BaseRepresentation
bin100000010011101110010…
…010101011110001000000
321212020201121212122212200
4200103232102223301000
5242333432424000000
64415540220353200
7316255436056554
oct40235622536100
97766647778780
102220201000000
11786644647305
122ba3589a5800
13131496aa5689
147965b819864
153cb44b73500
hex204ee4abc40

2220201000000 has 294 divisors, whose sum is σ = 7954687045890. Its totient is φ = 592051200000.

The previous prime is 2220200999983. The next prime is 2220201000103. The reversal of 2220201000000 is 1020222.

It can be written as a sum of positive squares in 7 ways, for example, as 2024405369856 + 195795630144 = 1422816^2 + 442488^2 .

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

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 8876656 + ... + 9123344.

Almost surely, 22220201000000 is an apocalyptic number.

2220201000000 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 2220201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977343522945).

2220201000000 is an abundant number, since it is smaller than the sum of its proper divisors (5734486045890).

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

2220201000000 is an frugal number, since it uses more digits than its factorization.

2220201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246737 (or 246699 counting only the distinct ones).

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

Adding to 2220201000000 its reverse (1020222), we get a palindrome (2220202020222).

The spelling of 2220201000000 in words is "two trillion, two hundred twenty billion, two hundred one million", and thus it is an aban number.