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212663142 = 2321071091013
BaseRepresentation
bin11001010110011…
…11101101100110
3112211011101222200
430223033231212
5413420210032
633034035330
75161415106
oct1453175546
9484141880
10212663142
11aa051a6a
125b278b46
133509c0a3
142035b206
1513a0b47c
hexcacfb66

212663142 has 48 divisors (see below), whose sum is σ = 469806480. Its totient is φ = 69512256.

The previous prime is 212663137. The next prime is 212663147. The reversal of 212663142 is 241366212.

212663142 is a `hidden beast` number, since 2 + 1 + 26 + 631 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212663137) and next prime (212663147).

It is a super-2 number, since 2×2126631422 = 90451223930624328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212663147) 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 23 ways as a sum of consecutive naturals, for example, 209428 + ... + 210440.

It is an arithmetic number, because the mean of its divisors is an integer number (9787635).

Almost surely, 2212663142 is an apocalyptic number.

212663142 is an abundant number, since it is smaller than the sum of its proper divisors (257143338).

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

212663142 is a wasteful number, since it uses less digits than its factorization.

212663142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1234 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 212663142 is about 14582.9743879635. The cubic root of 212663142 is about 596.8942684568.

The spelling of 212663142 in words is "two hundred twelve million, six hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 107 109 214 218 321 327 642 654 963 981 1013 1926 1962 2026 3039 6078 9117 11663 18234 23326 34989 69978 104967 108391 110417 209934 216782 220834 325173 331251 650346 662502 975519 993753 1951038 1987506 11814619 23629238 35443857 70887714 106331571 212663142