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2321000220 = 22357112109419
BaseRepresentation
bin1000101001010111…
…1010011100011100
312222202101000202010
42022111322130130
514223134001340
61022151031220
7111342114330
oct21225723434
95882330663
102321000220
11a91164900
1254936b510
132acb18916
141803777c0
15d8b6db80
hex8a57a71c

2321000220 has 288 divisors, whose sum is σ = 8258342400. Its totient is φ = 476720640.

The previous prime is 2321000203. The next prime is 2321000261. The reversal of 2321000220 is 220001232.

2321000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2321000196 and 2321000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5539171 + ... + 5539589.

It is an arithmetic number, because the mean of its divisors is an integer number (28674800).

Almost surely, 22321000220 is an apocalyptic number.

2321000220 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 2321000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129171200).

2321000220 is an abundant number, since it is smaller than the sum of its proper divisors (5937342180).

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

2321000220 is a wasteful number, since it uses less digits than its factorization.

2321000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2321000220 is about 48176.7601650422. The cubic root of 2321000220 is about 1324.0114083104.

Adding to 2321000220 its reverse (220001232), we get a palindrome (2541001452).

The spelling of 2321000220 in words is "two billion, three hundred twenty-one million, two hundred twenty", and thus it is an aban number.