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212550540 = 22358534153
BaseRepresentation
bin11001010101101…
…00001110001100
3112210221200112020
430222310032030
5413403104130
633031410140
75160435606
oct1452641614
9483850466
10212550540
11a9a85404
125b223950
133505ca67
142032c176
15139d7e10
hexcab438c

212550540 has 48 divisors (see below), whose sum is σ = 595982688. Its totient is φ = 56600064.

The previous prime is 212550517. The next prime is 212550553. The reversal of 212550540 is 45055212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212550540.

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 15 ways as a sum of consecutive naturals, for example, 49104 + ... + 53256.

It is an arithmetic number, because the mean of its divisors is an integer number (12416306).

Almost surely, 2212550540 is an apocalyptic number.

212550540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212550540 is an abundant number, since it is smaller than the sum of its proper divisors (383432148).

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

212550540 is a wasteful number, since it uses less digits than its factorization.

212550540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 212550540 is about 14579.1131417518. The cubic root of 212550540 is about 596.7889009513.

The spelling of 212550540 in words is "two hundred twelve million, five hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 853 1706 2559 3412 4153 4265 5118 8306 8530 10236 12459 12795 16612 17060 20765 24918 25590 41530 49836 51180 62295 83060 124590 249180 3542509 7085018 10627527 14170036 17712545 21255054 35425090 42510108 53137635 70850180 106275270 212550540