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216146773 = 2953140629
BaseRepresentation
bin11001110001000…
…10001101010101
3120001201101122001
430320202031111
5420313144043
633240435301
75233134343
oct1470421525
9501641561
10216146773
111010112a7
1260478b31
1335a1b8cb
14209c6993
1513e9874d
hexce22355

216146773 has 8 divisors (see below), whose sum is σ = 227820600. Its totient is φ = 204754368.

The previous prime is 216146771. The next prime is 216146837. The reversal of 216146773 is 377641612.

It can be written as a sum of positive squares in 4 ways, for example, as 134026929 + 82119844 = 11577^2 + 9062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 216146773 - 21 = 216146771 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216146771) 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, 68778 + ... + 71851.

It is an arithmetic number, because the mean of its divisors is an integer number (28477575).

Almost surely, 2216146773 is an apocalyptic number.

It is an amenable number.

216146773 is a deficient number, since it is larger than the sum of its proper divisors (11673827).

216146773 is a wasteful number, since it uses less digits than its factorization.

216146773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140711.

The product of its digits is 42336, while the sum is 37.

The square root of 216146773 is about 14701.9309276027. The cubic root of 216146773 is about 600.1358701558.

The spelling of 216146773 in words is "two hundred sixteen million, one hundred forty-six thousand, seven hundred seventy-three".

Divisors: 1 29 53 1537 140629 4078241 7453337 216146773