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212580045 = 36558321
BaseRepresentation
bin11001010101110…
…11011011001101
3112211000012000000
430222323123031
5413410030140
633032154513
75160620616
oct1452733315
9484005000
10212580045
11a9aa5597
125b238a39
1335070312
1420338c0d
15139e1a30
hexcabb6cd

212580045 has 28 divisors (see below), whose sum is σ = 382475676. Its totient is φ = 113374080.

The previous prime is 212580029. The next prime is 212580083. The reversal of 212580045 is 540085212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28869129 + 183710916 = 5373^2 + 13554^2 .

It is not a de Polignac number, because 212580045 - 24 = 212580029 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 25516 + ... + 32805.

Almost surely, 2212580045 is an apocalyptic number.

It is an amenable number.

212580045 is a deficient number, since it is larger than the sum of its proper divisors (169895631).

212580045 is an frugal number, since it uses more digits than its factorization.

212580045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58344 (or 58329 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 212580045 is about 14580.1249994642. The cubic root of 212580045 is about 596.8165139005.

The spelling of 212580045 in words is "two hundred twelve million, five hundred eighty thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 58321 174963 291605 524889 874815 1574667 2624445 4724001 7873335 14172003 23620005 42516009 70860015 212580045