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216929349 = 32713264871
BaseRepresentation
bin11001110111000…
…01010001000101
3120010012011010100
430323201101011
5421013214344
633305314313
75242604040
oct1473412105
9503164110
10216929349
111014a625a
1260795999
1335c33b80
1420b4bc57
15140a0569
hexcee1445

216929349 has 24 divisors (see below), whose sum is σ = 385653632. Its totient is φ = 114423840.

The previous prime is 216929287. The next prime is 216929369. The reversal of 216929349 is 943929612.

It is a happy number.

216929349 is a `hidden beast` number, since 216 + 92 + 9 + 349 = 666.

It is not a de Polignac number, because 216929349 - 28 = 216929093 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216929369) 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 23 ways as a sum of consecutive naturals, for example, 131617 + ... + 133254.

Almost surely, 2216929349 is an apocalyptic number.

It is an amenable number.

216929349 is a deficient number, since it is larger than the sum of its proper divisors (168724283).

216929349 is a wasteful number, since it uses less digits than its factorization.

216929349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264897 (or 264894 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 216929349 is about 14728.5216162383. The cubic root of 216929349 is about 600.8592771505.

The spelling of 216929349 in words is "two hundred sixteen million, nine hundred twenty-nine thousand, three hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 264871 794613 1854097 2383839 3443323 5562291 10329969 16686873 24103261 30989907 72309783 216929349