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214032501 = 32472232269
BaseRepresentation
bin11001100000111…
…10000001110101
3112220201222101200
430300132001311
5414243020001
633123243113
75206150314
oct1460360165
9486658350
10214032501
11aa8a7871
125b819499
133545b467
14205d627b
1513bcc086
hexcc1e075

214032501 has 24 divisors (see below), whose sum is σ = 317291520. Its totient is φ = 138964896.

The previous prime is 214032493. The next prime is 214032517. The reversal of 214032501 is 105230412.

It is not a de Polignac number, because 214032501 - 23 = 214032493 is a prime.

It is a super-2 number, since 2×2140325012 = 91619822968630002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214032521) 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, 93195 + ... + 95463.

It is an arithmetic number, because the mean of its divisors is an integer number (13220480).

Almost surely, 2214032501 is an apocalyptic number.

It is an amenable number.

214032501 is a deficient number, since it is larger than the sum of its proper divisors (103259019).

214032501 is a wasteful number, since it uses less digits than its factorization.

214032501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214032501 is about 14629.8496574640. The cubic root of 214032501 is about 598.1726821655.

Adding to 214032501 its reverse (105230412), we get a palindrome (319262913).

The spelling of 214032501 in words is "two hundred fourteen million, thirty-two thousand, five hundred one".

Divisors: 1 3 9 47 141 223 423 669 2007 2269 6807 10481 20421 31443 94329 106643 319929 505987 959787 1517961 4553883 23781389 71344167 214032501