Search a number
-
+
22314285 = 345717463
BaseRepresentation
bin101010100011…
…1110100101101
31112222200110000
41111013310231
521203024120
62114134513
7360445140
oct125076455
945880400
1022314285
1111661064
127581439
134813926
142d6c057
151e5b990
hex1547d2d

22314285 has 80 divisors (see below), whose sum is σ = 48508416. Its totient is φ = 9580032.

The previous prime is 22314277. The next prime is 22314307. The reversal of 22314285 is 58241322.

22314285 is a `hidden beast` number, since 2 + 231 + 428 + 5 = 666.

It is not a de Polignac number, because 22314285 - 23 = 22314277 is a prime.

It is a super-3 number, since 3×223142853 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47964 + ... + 48426.

Almost surely, 222314285 is an apocalyptic number.

It is an amenable number.

22314285 is an abundant number, since it is smaller than the sum of its proper divisors (26194131).

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

22314285 is a wasteful number, since it uses less digits than its factorization.

22314285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 22314285 is about 4723.7998475803. The cubic root of 22314285 is about 281.5319306260.

The spelling of 22314285 in words is "twenty-two million, three hundred fourteen thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 255 315 357 405 459 463 567 595 765 945 1071 1377 1389 1785 2295 2315 2835 3213 3241 4167 5355 6885 6945 7871 9639 9723 12501 16065 16205 20835 23613 29169 37503 39355 48195 48615 55097 62505 70839 87507 118065 145845 165291 187515 212517 262521 275485 354195 437535 495873 637551 826455 1062585 1312605 1487619 2479365 3187755 4462857 7438095 22314285