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216506133 = 3224056237
BaseRepresentation
bin11001110011110…
…01111100010101
3120002101122120200
430321321330111
5420411144013
633252251113
75236162134
oct1471717425
9502348520
10216506133
11101237298
1260610a99
1335b1634c
1420a7b91b
1514019e73
hexce79f15

216506133 has 6 divisors (see below), whose sum is σ = 312731094. Its totient is φ = 144337416.

The previous prime is 216506123. The next prime is 216506137. The reversal of 216506133 is 331605612.

216506133 is a `hidden beast` number, since 2 + 1 + 650 + 6 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150847524 + 65658609 = 12282^2 + 8103^2 .

It is not a de Polignac number, because 216506133 - 212 = 216502037 is a prime.

It is a super-2 number, since 2×2165061332 = 93749811253227378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216506097 and 216506106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216506137) 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, 12028110 + ... + 12028127.

It is an arithmetic number, because the mean of its divisors is an integer number (52121849).

Almost surely, 2216506133 is an apocalyptic number.

It is an amenable number.

216506133 is a deficient number, since it is larger than the sum of its proper divisors (96224961).

216506133 is a wasteful number, since it uses less digits than its factorization.

216506133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24056243 (or 24056240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 216506133 is about 14714.1473759100. The cubic root of 216506133 is about 600.4682761007.

The spelling of 216506133 in words is "two hundred sixteen million, five hundred six thousand, one hundred thirty-three".

Divisors: 1 3 9 24056237 72168711 216506133