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2000201364 = 223472192349
BaseRepresentation
bin111011100111000…
…1010011010010100
312011101201202110000
41313032022122110
513044022420424
6530251131300
7100365300600
oct16716123224
95141652400
102000201364
11937074987
12479a43b30
1325b517c05
1414d90c500
15ba9023c9
hex7738a694

2000201364 has 270 divisors, whose sum is σ = 6438004650. Its totient is φ = 539856576.

The previous prime is 2000201363. The next prime is 2000201381. The reversal of 2000201364 is 4631020002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1856920464 + 143280900 = 43092^2 + 11970^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000201363) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5731062 + ... + 5731410.

Almost surely, 22000201364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000201364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219002325).

2000201364 is an abundant number, since it is smaller than the sum of its proper divisors (4437803286).

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

2000201364 is a wasteful number, since it uses less digits than its factorization.

2000201364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000201364 is about 44723.6108112930. The cubic root of 2000201364 is about 1259.9633322663.

Adding to 2000201364 its reverse (4631020002), we get a palindrome (6631221366).

The spelling of 2000201364 in words is "two billion, two hundred one thousand, three hundred sixty-four".