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214220349 = 33717611093
BaseRepresentation
bin11001100010010…
…11111000111101
3112221002112002000
430301023320331
5414320022344
633131252513
75210562060
oct1461137075
9487075060
10214220349
11aaa15a12
125b8aa139
13354c5b05
14206448d7
1513c17a69
hexcc4be3d

214220349 has 64 divisors (see below), whose sum is σ = 390689280. Its totient is φ = 113218560.

The previous prime is 214220341. The next prime is 214220353. The reversal of 214220349 is 943022412.

It is not a de Polignac number, because 214220349 - 23 = 214220341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214220341) 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, 195447 + ... + 196539.

It is an arithmetic number, because the mean of its divisors is an integer number (6104520).

Almost surely, 2214220349 is an apocalyptic number.

It is an amenable number.

214220349 is a deficient number, since it is larger than the sum of its proper divisors (176468931).

214220349 is a wasteful number, since it uses less digits than its factorization.

214220349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214220349 is about 14636.2682743929. The cubic root of 214220349 is about 598.3476286254.

The spelling of 214220349 in words is "two hundred fourteen million, two hundred twenty thousand, three hundred forty-nine".

Divisors: 1 3 7 9 17 21 27 51 61 63 119 153 183 189 357 427 459 549 1037 1071 1093 1281 1647 3111 3213 3279 3843 7259 7651 9333 9837 11529 18581 21777 22953 27999 29511 55743 65331 66673 68859 130067 167229 195993 200019 206577 390201 466711 501687 600057 1133441 1170603 1400133 1800171 3400323 3511809 4200399 7934087 10200969 12601197 23802261 30602907 71406783 214220349