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216445131 = 32719231307
BaseRepresentation
bin11001110011010…
…11000011001011
3120002021112220100
430321223003023
5420402221011
633251100443
75235516240
oct1471530313
9502245810
10216445131
111011a5481
12605a1723
1335ac4656
1420a635c7
1514006d56
hexce6b0cb

216445131 has 72 divisors (see below), whose sum is σ = 390534144. Its totient is φ = 113024160.

The previous prime is 216445129. The next prime is 216445147. The reversal of 216445131 is 131544612.

It is a happy number.

216445131 is a `hidden beast` number, since 2 + 1 + 644 + 5 + 13 + 1 = 666.

It is not a de Polignac number, because 216445131 - 21 = 216445129 is a prime.

It is a super-2 number, since 2×2164451312 = 93696989467214322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216445095 and 216445104.

It is not an unprimeable number, because it can be changed into a prime (216445171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 704880 + ... + 705186.

Almost surely, 2216445131 is an apocalyptic number.

216445131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

216445131 is a deficient number, since it is larger than the sum of its proper divisors (174089013).

216445131 is a wasteful number, since it uses less digits than its factorization.

216445131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 367 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 216445131 is about 14712.0743268922. The cubic root of 216445131 is about 600.4118755329.

Adding to 216445131 its reverse (131544612), we get a palindrome (347989743).

The spelling of 216445131 in words is "two hundred sixteen million, four hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 307 361 399 589 651 921 1083 1197 1767 1953 2149 2527 2763 3249 4123 5301 5833 6447 7581 9517 11191 12369 17499 19341 22743 28551 33573 37107 40831 52497 66619 78337 85653 100719 110827 122493 180823 199857 235011 332481 367479 542469 599571 705033 775789 997443 1265761 1627407 2327367 3435637 3797283 6982101 10306911 11391849 24049459 30920733 72148377 216445131