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214365684 = 22313347173
BaseRepresentation
bin11001100011011…
…11010111110100
3112221100220102210
430301233113310
5414334200214
633134333420
75212035561
oct1461572764
9487326383
10214365684
11100005125
125b95a270
1335547000
1420681868
1513c45b59
hexcc6f5f4

214365684 has 96 divisors (see below), whose sum is σ = 556577280. Its totient is φ = 64182144.

The previous prime is 214365673. The next prime is 214365779. The reversal of 214365684 is 486563412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239022 + ... + 1239194.

It is an arithmetic number, because the mean of its divisors is an integer number (5797680).

Almost surely, 2214365684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214365684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278288640).

214365684 is an abundant number, since it is smaller than the sum of its proper divisors (342211596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214365684 is a wasteful number, since it uses less digits than its factorization.

214365684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 214365684 is about 14641.2323251836. The cubic root of 214365684 is about 598.4829117495.

The spelling of 214365684 in words is "two hundred fourteen million, three hundred sixty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 173 188 282 338 346 507 519 564 611 676 692 1014 1038 1222 1833 2028 2076 2197 2249 2444 3666 4394 4498 6591 6747 7332 7943 8131 8788 8996 13182 13494 15886 16262 23829 24393 26364 26988 29237 31772 32524 47658 48786 58474 87711 95316 97572 103259 105703 116948 175422 206518 211406 309777 317109 350844 380081 413036 422812 619554 634218 760162 1140243 1239108 1268436 1374139 1520324 2280486 2748278 4122417 4560972 5496556 8244834 16489668 17863807 35727614 53591421 71455228 107182842 214365684