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212535072 = 2532737969
BaseRepresentation
bin11001010101100…
…00011100100000
3112210220220022100
430222300130200
5413402110242
633031210400
75160342531
oct1452603440
9483826270
10212535072
11a9a74822
125b216a00
13350559c9
1420326688
15139d354c
hexcab0720

212535072 has 36 divisors (see below), whose sum is σ = 604397430. Its totient is φ = 70844928.

The previous prime is 212535053. The next prime is 212535073. The reversal of 212535072 is 270535212.

It can be written as a sum of positive squares in only one way, i.e., 178382736 + 34152336 = 13356^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (212535073) 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 5 ways as a sum of consecutive naturals, for example, 368697 + ... + 369272.

Almost surely, 2212535072 is an apocalyptic number.

It is an amenable number.

212535072 is an abundant number, since it is smaller than the sum of its proper divisors (391862358).

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

212535072 is a wasteful number, since it uses less digits than its factorization.

212535072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737985 (or 737974 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 212535072 is about 14578.5826471574. The cubic root of 212535072 is about 596.7744238381.

The spelling of 212535072 in words is "two hundred twelve million, five hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 737969 1475938 2213907 2951876 4427814 5903752 6641721 8855628 11807504 13283442 17711256 23615008 26566884 35422512 53133768 70845024 106267536 212535072