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14022112 = 251337911
BaseRepresentation
bin110101011111…
…010111100000
3222101101201111
4311133113200
512042201422
61220313104
7230120536
oct65372740
928341644
1014022112
117a08025
124842794
132b9c510
141c10156
15136ea77
hexd5f5e0

14022112 has 48 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 6289920.

The previous prime is 14022091. The next prime is 14022119. The reversal of 14022112 is 21122041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 14022092 and 14022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14937 + ... + 15847.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 214022112 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 14022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

14022112 is an abundant number, since it is smaller than the sum of its proper divisors (16544480).

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

14022112 is a wasteful number, since it uses less digits than its factorization.

14022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14022112 is about 3744.6110612452. The cubic root of 14022112 is about 241.1410479242.

Adding to 14022112 its reverse (21122041), we get a palindrome (35144153).

The spelling of 14022112 in words is "fourteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 911 962 1184 1822 1924 3644 3848 7288 7696 11843 14576 15392 23686 29152 33707 47372 67414 94744 134828 189488 269656 378976 438191 539312 876382 1078624 1752764 3505528 7011056 14022112