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212729188 = 22721085353
BaseRepresentation
bin11001010110111…
…11110101100100
3112211021202120211
430223133311210
5413424313223
633035305204
75162111500
oct1453376544
9484252524
10212729188
11aa097651
125b2ab204
13350c3179
1420377300
1513a20d0d
hexcadfd64

212729188 has 18 divisors (see below), whose sum is σ = 433056246. Its totient is φ = 91169568.

The previous prime is 212729183. The next prime is 212729207. The reversal of 212729188 is 881927212.

It can be written as a sum of positive squares in only one way, i.e., 135675904 + 77053284 = 11648^2 + 8778^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212729188.

It is not an unprimeable number, because it can be changed into a prime (212729183) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 542481 + ... + 542872.

Almost surely, 2212729188 is an apocalyptic number.

212729188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212729188 is an abundant number, since it is smaller than the sum of its proper divisors (220327058).

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

212729188 is a wasteful number, since it uses less digits than its factorization.

212729188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085371 (or 1085362 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 212729188 is about 14585.2387021948. The cubic root of 212729188 is about 596.9560538045.

The spelling of 212729188 in words is "two hundred twelve million, seven hundred twenty-nine thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 1085353 2170706 4341412 7597471 15194942 30389884 53182297 106364594 212729188