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212020221 = 3719691769
BaseRepresentation
bin11001010001100…
…10101111111101
3112202221202001210
430220302233331
5413234121341
633012155033
75153066520
oct1450625775
9482852053
10212020221
11a9752a26
125b008a79
1334c0556a
1420230bb7
1513930c16
hexca32bfd

212020221 has 32 divisors (see below), whose sum is σ = 341017600. Its totient is φ = 114462720.

The previous prime is 212020213. The next prime is 212020223. The reversal of 212020221 is 122020212.

It is not a de Polignac number, because 212020221 - 23 = 212020213 is a prime.

It is a super-2 number, since 2×2120202212 = 89905148225777682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212020197 and 212020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275325 + ... + 276093.

It is an arithmetic number, because the mean of its divisors is an integer number (10656800).

Almost surely, 2212020221 is an apocalyptic number.

212020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212020221 is a deficient number, since it is larger than the sum of its proper divisors (128997379).

212020221 is a wasteful number, since it uses less digits than its factorization.

212020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212020221 is about 14560.9141539946. The cubic root of 212020221 is about 596.2921530966.

Adding to 212020221 its reverse (122020212), we get a palindrome (334040433).

Subtracting from 212020221 its reverse (122020212), we obtain a palindrome (90000009).

The spelling of 212020221 in words is "two hundred twelve million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 691 769 2073 2307 4837 5383 13129 14511 14611 16149 39387 43833 91903 102277 275709 306831 531379 1594137 3719653 10096201 11158959 30288603 70673407 212020221