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214906384 = 247111731331
BaseRepresentation
bin11001100111100…
…11011000010000
3112222101101010201
430303303120100
5420004001014
633154104544
75216450140
oct1463633020
9488341121
10214906384
11100344390
125bb7b154
13356a6154
1420782920
1513d00e74
hexccf3610

214906384 has 160 divisors (see below), whose sum is σ = 569106432. Its totient is φ = 76032000.

The previous prime is 214906381. The next prime is 214906399. The reversal of 214906384 is 483609412.

It is not an unprimeable number, because it can be changed into a prime (214906381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649099 + ... + 649429.

Almost surely, 2214906384 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 214906384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284553216).

214906384 is an abundant number, since it is smaller than the sum of its proper divisors (354200048).

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

214906384 is a wasteful number, since it uses less digits than its factorization.

214906384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 214906384 is about 14659.6856719372. The cubic root of 214906384 is about 598.9856788131.

The spelling of 214906384 in words is "two hundred fourteen million, nine hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 34 44 56 62 68 77 88 112 119 124 136 154 176 187 217 238 248 272 308 331 341 374 434 476 496 527 616 662 682 748 868 952 1054 1232 1309 1324 1364 1496 1736 1904 2108 2317 2387 2618 2648 2728 2992 3472 3641 3689 4216 4634 4774 5236 5296 5456 5627 5797 7282 7378 8432 9268 9548 10261 10472 11254 11594 14564 14756 18536 19096 20522 20944 22508 23188 25487 29128 29512 37072 38192 39389 40579 41044 45016 46376 50974 58256 59024 61897 71827 78778 81158 82088 90032 92752 101948 112871 123794 143654 157556 162316 164176 174437 203896 225742 247588 287308 315112 324632 348874 407792 433279 451484 495176 574616 630224 649264 697748 790097 866558 902968 990352 1149232 1221059 1395496 1580194 1733116 1805936 1918807 2442118 2790992 3160388 3466232 3837614 4884236 6320776 6932464 7675228 9768472 12641552 13431649 15350456 19536944 26863298 30700912 53726596 107453192 214906384