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209429316 = 223279211349
BaseRepresentation
bin11000111101110…
…10001101000100
3112121002010000100
430132322031010
5412103214231
632440444100
75122056045
oct1436721504
9477063010
10209429316
11a8243388
125a179630
1334509195
141db588cc
15135bd1e6
hexc7ba344

209429316 has 72 divisors (see below), whose sum is σ = 540176000. Its totient is φ = 68402880.

The previous prime is 209429309. The next prime is 209429323. The reversal of 209429316 is 613924902.

209429316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209429309) and next prime (209429323).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599910 + ... + 600258.

Almost surely, 2209429316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209429316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270088000).

209429316 is an abundant number, since it is smaller than the sum of its proper divisors (330746684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209429316 is a wasteful number, since it uses less digits than its factorization.

209429316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 209429316 is about 14471.6728818751. The cubic root of 209429316 is about 593.8532780493.

The spelling of 209429316 in words is "two hundred nine million, four hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 211 237 316 349 422 474 633 698 711 844 948 1047 1266 1396 1422 1899 2094 2532 2844 3141 3798 4188 6282 7596 12564 16669 27571 33338 50007 55142 66676 73639 82713 100014 110284 147278 150021 165426 200028 220917 248139 294556 300042 330852 441834 496278 600084 662751 883668 992556 1325502 2651004 5817481 11634962 17452443 23269924 34904886 52357329 69809772 104714658 209429316