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217114293 = 311217151233
BaseRepresentation
bin11001111000011…
…10011010110101
3120010112112211010
430330032122311
5421040124133
633313302433
75244304164
oct1474163265
9503475733
10217114293
11101612200
1260864a19
1335c9a0c6
1420b993db
15140da263
hexcf0e6b5

217114293 has 48 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 122496000.

The previous prime is 217114283. The next prime is 217114301. The reversal of 217114293 is 392411712.

It is not a de Polignac number, because 217114293 - 29 = 217113781 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 217114293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217114223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931705 + ... + 931937.

It is an arithmetic number, because the mean of its divisors is an integer number (7095816).

Almost surely, 2217114293 is an apocalyptic number.

It is an amenable number.

217114293 is a deficient number, since it is larger than the sum of its proper divisors (123484875).

217114293 is a wasteful number, since it uses less digits than its factorization.

217114293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 217114293 is about 14734.7987091782. The cubic root of 217114293 is about 601.0299836555.

The spelling of 217114293 in words is "two hundred seventeen million, one hundred fourteen thousand, two hundred ninety-three".

Divisors: 1 3 11 17 33 51 121 151 187 233 363 453 561 699 1661 2057 2563 2567 3961 4983 6171 7689 7701 11883 18271 28193 28237 35183 43571 54813 84579 84711 105549 130713 310607 387013 479281 598111 931821 1161039 1437843 1794333 4257143 6579221 12771429 19737663 72371431 217114293