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200216064 = 293130349
BaseRepresentation
bin10111110111100…
…00111000000000
3111221202000210210
423323300320000
5402223403224
631511154120
74650544206
oct1373607000
9457660723
10200216064
11a3020324
1257075940
1332631759
141c83b076
151289d429
hexbef0e00

200216064 has 40 divisors (see below), whose sum is σ = 533392200. Its totient is φ = 66738176.

The previous prime is 200216063. The next prime is 200216069. The reversal of 200216064 is 460612002.

It is a happy number.

200216064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200216064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200216063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63639 + ... + 66710.

It is an arithmetic number, because the mean of its divisors is an integer number (13334805).

Almost surely, 2200216064 is an apocalyptic number.

200216064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200216064 is an abundant number, since it is smaller than the sum of its proper divisors (333176136).

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

200216064 is an equidigital number, since it uses as much as digits as its factorization.

200216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130370 (or 130354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 200216064 is about 14149.7725776777. The cubic root of 200216064 is about 585.0140635088.

Adding to 200216064 its reverse (460612002), we get a palindrome (660828066).

The spelling of 200216064 in words is "two hundred million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 130349 260698 391047 521396 782094 1042792 1564188 2085584 3128376 4171168 6256752 8342336 12513504 16684672 25027008 33369344 50054016 66738688 100108032 200216064