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212113328 = 2478092341
BaseRepresentation
bin11001010010010…
…01011110110000
3112210010110210012
430221021132300
5413300111303
633014154052
75153635130
oct1451113660
9483113705
10212113328
11a9806979
125b052928
1334c38a5b
1420256ac0
151394d5d8
hexca497b0

212113328 has 40 divisors (see below), whose sum is σ = 470460960. Its totient is φ = 90754560.

The previous prime is 212113327. The next prime is 212113333. The reversal of 212113328 is 823311212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212113327) 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 7 ways as a sum of consecutive naturals, for example, 89438 + ... + 91778.

It is an arithmetic number, because the mean of its divisors is an integer number (11761524).

Almost surely, 2212113328 is an apocalyptic number.

212113328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212113328 is an abundant number, since it is smaller than the sum of its proper divisors (258347632).

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

212113328 is a wasteful number, since it uses less digits than its factorization.

212113328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 212113328 is about 14564.1109581052. The cubic root of 212113328 is about 596.3794259808.

The spelling of 212113328 in words is "two hundred twelve million, one hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 809 1618 2341 3236 4682 5663 6472 9364 11326 12944 16387 18728 22652 32774 37456 45304 65548 90608 131096 262192 1893869 3787738 7575476 13257083 15150952 26514166 30301904 53028332 106056664 212113328