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210226841888 = 2572115792
BaseRepresentation
bin1100001111001001111…
…1110000100100100000
3202002122001220002012012
43003302133300210200
511421021032420023
6240324334452052
721121421446400
oct3036237604440
9662561802165
10210226841888
118117a631948
12348b0664028
1316a940012cb
14a264412800
1557061de978
hex30f27f0920

210226841888 has 54 divisors (see below), whose sum is σ = 481498592211. Its totient is φ = 90089436864.

The previous prime is 210226841857. The next prime is 210226841893. The reversal of 210226841888 is 888148622012.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 105113420944 + 105113420944 = 324212^2 + 324212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=324212.

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 8 ways as a sum of consecutive naturals, for example, 18150083 + ... + 18161661.

Almost surely, 2210226841888 is an apocalyptic number.

210226841888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

210226841888 is an abundant number, since it is smaller than the sum of its proper divisors (271271750323).

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

210226841888 is an frugal number, since it uses more digits than its factorization.

210226841888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23182 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 50.

Multiplying 210226841888 by its sum of digits (50), we get a square (10511342094400 = 32421202).

The spelling of 210226841888 in words is "two hundred ten billion, two hundred twenty-six million, eight hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11579 23158 46316 81053 92632 162106 185264 324212 370528 567371 648424 1134742 1296848 2269484 2593696 4538968 9077936 18155872 134073241 268146482 536292964 938512687 1072585928 1877025374 2145171856 3754050748 4290343712 6569588809 7508101496 13139177618 15016202992 26278355236 30032405984 52556710472 105113420944 210226841888