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216806233 = 7229271563
BaseRepresentation
bin11001110110000…
…11001101011001
3120002221220020111
430323003031121
5421000244413
633302524321
75241552100
oct1473031531
9502856214
10216806233
11101421806
12607366a1
1335bbcb17
1420b19037
1514078d3d
hexcec3359

216806233 has 24 divisors (see below), whose sum is σ = 262327680. Its totient is φ = 178446240.

The previous prime is 216806189. The next prime is 216806243. The reversal of 216806233 is 332608612.

It is a de Polignac number, because none of the positive numbers 2k-216806233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216806195 and 216806204.

It is not an unprimeable number, because it can be changed into a prime (216806243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384810 + ... + 385372.

It is an arithmetic number, because the mean of its divisors is an integer number (10930320).

Almost surely, 2216806233 is an apocalyptic number.

It is an amenable number.

216806233 is a deficient number, since it is larger than the sum of its proper divisors (45521447).

216806233 is a wasteful number, since it uses less digits than its factorization.

216806233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 216806233 is about 14724.3415132902. The cubic root of 216806233 is about 600.7455851579.

The spelling of 216806233 in words is "two hundred sixteen million, eight hundred six thousand, two hundred thirty-three".

Divisors: 1 7 29 49 203 271 563 1421 1897 3941 7859 13279 16327 27587 55013 114289 152573 385091 800023 1068011 4424617 7476077 30972319 216806233