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214257213 = 322331173193
BaseRepresentation
bin11001100010101…
…00111000111101
3112221011101122100
430301110320331
5414322212323
633132135313
75211104412
oct1461247075
9487141570
10214257213
11aaa40685
125b907539
1335509821
1420654109
1513c23943
hexcc54e3d

214257213 has 48 divisors (see below), whose sum is σ = 337019904. Its totient is φ = 130775040.

The previous prime is 214257203. The next prime is 214257221. The reversal of 214257213 is 312752412.

214257213 is a `hidden beast` number, since 21 + 425 + 7 + 213 = 666.

It is not a de Polignac number, because 214257213 - 26 = 214257149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214257203) 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, 1110045 + ... + 1110237.

It is an arithmetic number, because the mean of its divisors is an integer number (7021248).

Almost surely, 2214257213 is an apocalyptic number.

214257213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214257213 is a deficient number, since it is larger than the sum of its proper divisors (122762691).

214257213 is a wasteful number, since it uses less digits than its factorization.

214257213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 214257213 is about 14637.5275576171. The cubic root of 214257213 is about 598.3819487728.

The spelling of 214257213 in words is "two hundred fourteen million, two hundred fifty-seven thousand, two hundred thirteen".

Divisors: 1 3 9 23 31 69 93 173 193 207 279 519 579 713 1557 1737 2139 3979 4439 5363 5983 6417 11937 13317 16089 17949 33389 35811 39951 48267 53847 100167 123349 137609 300501 370047 412827 767947 1035059 1110141 1238481 2303841 3105177 6911523 9315531 23806357 71419071 214257213