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214300053 = 331129139179
BaseRepresentation
bin11001100010111…
…11010110010101
3112221020120102000
430301133112111
5414330100203
633133105513
75211343332
oct1461372625
9487216360
10214300053
11aaa6a890
125b928299
1335523186
1420665989
1513c314a3
hexcc5f595

214300053 has 64 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 123802560.

The previous prime is 214300033. The next prime is 214300057. The reversal of 214300053 is 350003412.

It is not a de Polignac number, because 214300053 - 29 = 214299541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214299999 and 214300035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214300057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1197118 + ... + 1197296.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2214300053 is an apocalyptic number.

It is an amenable number.

214300053 is a deficient number, since it is larger than the sum of its proper divisors (148579947).

214300053 is a wasteful number, since it uses less digits than its factorization.

214300053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 214300053 is about 14638.9908463664. The cubic root of 214300053 is about 598.4218275926.

Adding to 214300053 its reverse (350003412), we get a palindrome (564303465).

The spelling of 214300053 in words is "two hundred fourteen million, three hundred thousand, fifty-three".

Divisors: 1 3 9 11 27 29 33 87 99 139 179 261 297 319 417 537 783 957 1251 1529 1611 1969 2871 3753 4031 4587 4833 5191 5907 8613 12093 13761 15573 17721 24881 36279 41283 44341 46719 53163 57101 74643 108837 133023 140157 171303 223929 273691 399069 513909 671787 721549 821073 1197207 1541727 2164647 2463219 6493941 7389657 7937039 19481823 23811117 71433351 214300053