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20322302000 = 24537111310151
BaseRepresentation
bin10010111011010011…
…011011100000110000
31221110021222220110212
4102323103123200300
5313110002131000
613200321243252
71316414500610
oct227323334060
957407886425
1020322302000
118689456310
123b31a93528
131bbb3b3890
14dab022a40
157de1d2c35
hex4bb4db830

20322302000 has 320 divisors, whose sum is σ = 65983776768. Its totient is φ = 5846400000.

The previous prime is 20322301997. The next prime is 20322302003. The reversal of 20322302000 is 20322302.

It is an interprime number because it is at equal distance from previous prime (20322301997) and next prime (20322302003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20322302003) 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 63 ways as a sum of consecutive naturals, for example, 1996925 + ... + 2007075.

Almost surely, 220322302000 is an apocalyptic number.

20322302000 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 20322302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991888384).

20322302000 is an abundant number, since it is smaller than the sum of its proper divisors (45661474768).

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

20322302000 is a wasteful number, since it uses less digits than its factorization.

20322302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20322302000 its reverse (20322302), we get a palindrome (20342624302).

20322302000 divided by its reverse (20322302) gives a cube (1000 = 103).

It can be divided in two parts, 2032 and 2302000, that added together give a palindrome (2304032).

The spelling of 20322302000 in words is "twenty billion, three hundred twenty-two million, three hundred two thousand".