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664942200 = 2335213163523
BaseRepresentation
bin100111101000100…
…011011001111000
31201100012120012220
4213220203121320
52330211122300
6145552004040
722322625666
oct4750433170
91640176186
10664942200
11311384a0a
12166830620
13a79b6230
146444dc36
153d599da0
hex27a23678

664942200 has 192 divisors, whose sum is σ = 2237773440. Its totient is φ = 162362880.

The previous prime is 664942139. The next prime is 664942231. The reversal of 664942200 is 2249466.

It is a happy number.

664942200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271139 + ... + 1271661.

It is an arithmetic number, because the mean of its divisors is an integer number (11655070).

Almost surely, 2664942200 is an apocalyptic number.

664942200 is a gapful number since it is divisible by the number (60) 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 664942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118886720).

664942200 is an abundant number, since it is smaller than the sum of its proper divisors (1572831240).

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

664942200 is a wasteful number, since it uses less digits than its factorization.

664942200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 664942200 is about 25786.4731981712. The cubic root of 664942200 is about 872.8265841451.

The spelling of 664942200 in words is "six hundred sixty-four million, nine hundred forty-two thousand, two hundred".