Search a number
-
+
14022216 = 23321371211
BaseRepresentation
bin110101011111…
…011001001000
3222101101212100
4311133121020
512042202331
61220313400
7230121045
oct65373110
928341770
1014022216
117a0810a
124842860
132b9c590
141c101cc
15136eae6
hexd5f648

14022216 has 96 divisors (see below), whose sum is σ = 41670720. Its totient is φ = 4233600.

The previous prime is 14022193. The next prime is 14022221. The reversal of 14022216 is 61222041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66351 + ... + 66561.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 214022216 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 14022216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835360).

14022216 is an abundant number, since it is smaller than the sum of its proper divisors (27648504).

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

14022216 is a wasteful number, since it uses less digits than its factorization.

14022216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14022216 is about 3744.6249478419. The cubic root of 14022216 is about 241.1416440923.

Adding to 14022216 its reverse (61222041), we get a palindrome (75244257).

The spelling of 14022216 in words is "fourteen million, twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 211 213 234 284 312 422 426 468 568 633 639 844 852 923 936 1266 1278 1688 1704 1846 1899 2532 2556 2743 2769 3692 3798 5064 5112 5486 5538 7384 7596 8229 8307 10972 11076 14981 15192 16458 16614 21944 22152 24687 29962 32916 33228 44943 49374 59924 65832 66456 89886 98748 119848 134829 179772 194753 197496 269658 359544 389506 539316 584259 779012 1078632 1168518 1558024 1752777 2337036 3505554 4674072 7011108 14022216