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200214187209 = 348325992
BaseRepresentation
bin1011101001110110110…
…0100000110011001001
3201010210021022112010000
42322131230200303021
511240014312442314
6231551020513213
720315331340341
oct2723554406311
9633707275100
10200214187209
1177a01764223
12329773ab809
1315b59802b7a
149994717d21
15531c182209
hex2e9db20cc9

200214187209 has 45 divisors (see below), whose sum is σ = 303238483933. Its totient is φ = 131647831848.

The previous prime is 200214187183. The next prime is 200214187223. The reversal of 200214187209 is 902781412002.

The square root of 200214187209 is 447453.

It is a perfect power (a square), and thus also a powerful number.

200214187209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200214187209 - 223 = 200205798601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200214187009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 334247092 + ... + 334247690.

Almost surely, 2200214187209 is an apocalyptic number.

200214187209 is the 447453-rd square number.

200214187209 is the 223727-th centered octagonal number.

It is an amenable number.

200214187209 is a deficient number, since it is larger than the sum of its proper divisors (103024296724).

200214187209 is an frugal number, since it uses more digits than its factorization.

200214187209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 200214187209 by its sum of digits (36), we get a square (7207710739524 = 26847182).

The spelling of 200214187209 in words is "two hundred billion, two hundred fourteen million, one hundred eighty-seven thousand, two hundred nine".

Divisors: 1 3 9 27 81 83 249 599 747 1797 2241 5391 6723 6889 16173 20667 48519 49717 62001 149151 186003 358801 447453 558009 1076403 1342359 3229209 4027077 4126511 9687627 12379533 29062881 29780483 37138599 89341449 111415797 268024347 334247391 804073041 2412219123 2471780089 7415340267 22246020801 66738062403 200214187209