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218195001 = 32971092293
BaseRepresentation
bin11010000000101…
…10010000111001
3120012120110021100
431000112100321
5421324220001
633352402013
75256425013
oct1500262071
9505513240
10218195001
11102190152
12610a6309
1336287c8b
1420d9b1b3
1514250586
hexd016439

218195001 has 24 divisors (see below), whose sum is σ = 321481160. Its totient is φ = 142580736.

The previous prime is 218194973. The next prime is 218195023. The reversal of 218195001 is 100591812.

It can be written as a sum of positive squares in 4 ways, for example, as 27092025 + 191102976 = 5205^2 + 13824^2 .

It is not a de Polignac number, because 218195001 - 29 = 218194489 is a prime.

It is a super-2 number, since 2×2181950012 = 95218116922780002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218195501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94011 + ... + 96303.

Almost surely, 2218195001 is an apocalyptic number.

It is an amenable number.

218195001 is a deficient number, since it is larger than the sum of its proper divisors (103286159).

218195001 is a wasteful number, since it uses less digits than its factorization.

218195001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 218195001 is about 14771.4251512845. The cubic root of 218195001 is about 602.0255624661.

The spelling of 218195001 in words is "two hundred eighteen million, one hundred ninety-five thousand, one".

Divisors: 1 3 9 97 109 291 327 873 981 2293 6879 10573 20637 31719 95157 222421 249937 667263 749811 2001789 2249433 24243889 72731667 218195001