Search a number
-
+
212894201 = 1322295501
BaseRepresentation
bin11001011000010…
…00000111111001
3112211121010221102
430230020013321
5414000103301
633043021145
75163366542
oct1454100771
9484533842
10212894201
11aa19a623
125b36a7b5
1335150300
14203bb4c9
1513a54b6b
hexcb081f9

212894201 has 12 divisors (see below), whose sum is σ = 231579180. Its totient is φ = 195624000.

The previous prime is 212894153. The next prime is 212894239. The reversal of 212894201 is 102498212.

212894201 = 28492 + 28502 + ... + 28742.

It can be written as a sum of positive squares in 6 ways, for example, as 7974976 + 204919225 = 2824^2 + 14315^2 .

It is not a de Polignac number, because 212894201 - 226 = 145785337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212894251) 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 11 ways as a sum of consecutive naturals, for example, 35951 + ... + 41451.

It is an arithmetic number, because the mean of its divisors is an integer number (19298265).

Almost surely, 2212894201 is an apocalyptic number.

It is an amenable number.

212894201 is a deficient number, since it is larger than the sum of its proper divisors (18684979).

212894201 is a wasteful number, since it uses less digits than its factorization.

212894201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 212894201 is about 14590.8944551045. The cubic root of 212894201 is about 597.1103658841.

The spelling of 212894201 in words is "two hundred twelve million, eight hundred ninety-four thousand, two hundred one".

Divisors: 1 13 169 229 2977 5501 38701 71513 929669 1259729 16376477 212894201