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212444001 = 32711417477
BaseRepresentation
bin11001010100110…
…10001101100001
3112210202021101100
430222122031201
5413341202001
633025225013
75156513160
oct1452321541
9483667340
10212444001
11a9a12360
125b192169
1335023413
14203013d7
15139b6586
hexca9a361

212444001 has 48 divisors (see below), whose sum is σ = 391966848. Its totient is φ = 107654400.

The previous prime is 212443967. The next prime is 212444003. The reversal of 212444001 is 100444212.

212444001 is a `hidden beast` number, since 21 + 244 + 400 + 1 = 666.

It is not a de Polignac number, because 212444001 - 211 = 212441953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212444003) 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 47 ways as a sum of consecutive naturals, for example, 24675 + ... + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (8165976).

Almost surely, 2212444001 is an apocalyptic number.

212444001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212444001 is a deficient number, since it is larger than the sum of its proper divisors (179522847).

212444001 is a wasteful number, since it uses less digits than its factorization.

212444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212444001 is about 14575.4588607014. The cubic root of 212444001 is about 596.6891726406.

Adding to 212444001 its reverse (100444212), we get a palindrome (312888213).

The spelling of 212444001 in words is "two hundred twelve million, four hundred forty-four thousand, one".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 123 231 287 369 451 693 861 1353 2583 3157 4059 7477 9471 22431 28413 52339 67293 82247 157017 246741 306557 471051 575729 740223 919671 1727187 2145899 2759013 3372127 5181561 6437697 10116381 19313091 23604889 30349143 70814667 212444001