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216126657 = 3337673229
BaseRepresentation
bin11001110000111…
…01010011000001
3120001200101001000
430320131103001
5420312023112
633240202213
75233021605
oct1470352301
9501611030
10216126657
11100aa817a
1260469369
1335a126c6
14209bd505
1513e927dc
hexce1d4c1

216126657 has 32 divisors (see below), whose sum is σ = 333852800. Its totient is φ = 138055104.

The previous prime is 216126649. The next prime is 216126689. The reversal of 216126657 is 756621612.

It is a happy number.

It is not a de Polignac number, because 216126657 - 23 = 216126649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216122657) 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 31 ways as a sum of consecutive naturals, for example, 65319 + ... + 68547.

It is an arithmetic number, because the mean of its divisors is an integer number (10432900).

Almost surely, 2216126657 is an apocalyptic number.

216126657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

216126657 is a deficient number, since it is larger than the sum of its proper divisors (117726143).

216126657 is a wasteful number, since it uses less digits than its factorization.

216126657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 216126657 is about 14701.2467838616. The cubic root of 216126657 is about 600.1172520851.

The spelling of 216126657 in words is "two hundred sixteen million, one hundred twenty-six thousand, six hundred fifty-seven".

Divisors: 1 3 9 27 37 67 111 201 333 603 999 1809 2479 3229 7437 9687 22311 29061 66933 87183 119473 216343 358419 649029 1075257 1947087 3225771 5841261 8004691 24014073 72042219 216126657