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212244384 = 25311200989
BaseRepresentation
bin11001010011010…
…01011110100000
3112210101010120010
430221221132200
5413313310014
633021044520
75155022202
oct1451513640
9483333503
10212244384
11a9896390
125b0b6740
1334c835c1
142028c772
1513977359
hexca697a0

212244384 has 48 divisors (see below), whose sum is σ = 607793760. Its totient is φ = 64316160.

The previous prime is 212244379. The next prime is 212244407. The reversal of 212244384 is 483442212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99439 + ... + 101550.

It is an arithmetic number, because the mean of its divisors is an integer number (12662370).

Almost surely, 2212244384 is an apocalyptic number.

212244384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212244384 is an abundant number, since it is smaller than the sum of its proper divisors (395549376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212244384 is a wasteful number, since it uses less digits than its factorization.

212244384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201013 (or 201005 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 212244384 is about 14568.6095424375. The cubic root of 212244384 is about 596.5022267044.

Adding to 212244384 its reverse (483442212), we get a palindrome (695686596).

The spelling of 212244384 in words is "two hundred twelve million, two hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 200989 401978 602967 803956 1205934 1607912 2210879 2411868 3215824 4421758 4823736 6431648 6632637 8843516 9647472 13265274 17687032 19294944 26530548 35374064 53061096 70748128 106122192 212244384