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214967385 = 33559137197
BaseRepresentation
bin11001101000000…
…10010001011001
3112222111110211000
430310002101121
5420012424020
633155255213
75220123033
oct1464022131
9488443730
10214967385
111003861a6
125bbaa509
13356c7b49
142079ac53
1513d14090
hexcd02459

214967385 has 64 divisors (see below), whose sum is σ = 393465600. Its totient is φ = 111315456.

The previous prime is 214967381. The next prime is 214967399. The reversal of 214967385 is 583769412.

It is not a de Polignac number, because 214967385 - 22 = 214967381 is a prime.

It is a super-2 number, since 2×2149673852 = 92421953227476450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 214967385.

It is not an unprimeable number, because it can be changed into a prime (214967381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091107 + ... + 1091303.

It is an arithmetic number, because the mean of its divisors is an integer number (6147900).

Almost surely, 2214967385 is an apocalyptic number.

It is an amenable number.

214967385 is a deficient number, since it is larger than the sum of its proper divisors (178498215).

214967385 is a wasteful number, since it uses less digits than its factorization.

214967385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 214967385 is about 14661.7660941648. The cubic root of 214967385 is about 599.0423473154.

The spelling of 214967385 in words is "two hundred fourteen million, nine hundred sixty-seven thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 59 135 137 177 197 295 411 531 591 685 885 985 1233 1593 1773 2055 2655 2955 3699 5319 6165 7965 8083 8865 11623 18495 24249 26595 26989 34869 40415 58115 72747 80967 104607 121245 134945 174345 218241 242901 313821 363735 404835 523035 728703 1091205 1214505 1569105 1592351 3643515 4777053 7961755 14331159 23885265 42993477 71655795 214967385