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14222416 = 2413101677
BaseRepresentation
bin110110010000…
…010001010000
3222202120111011
4312100101100
512120104131
61224500304
7231613525
oct66202120
928676434
1014222416
11803456a
12491a694
132c3c740
141c6314c
1513ae0b1
hexd90450

14222416 has 40 divisors (see below), whose sum is σ = 30013704. Its totient is φ = 6489600.

The previous prime is 14222347. The next prime is 14222419. The reversal of 14222416 is 61422241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7952400 + 6270016 = 2820^2 + 2504^2 .

It is a super-3 number, since 3×142224163 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222419) 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, 20670 + ... + 21346.

Almost surely, 214222416 is an apocalyptic number.

14222416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006852).

14222416 is an abundant number, since it is smaller than the sum of its proper divisors (15791288).

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

14222416 is a wasteful number, since it uses less digits than its factorization.

14222416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 14222416 is about 3771.2618577871. The cubic root of 14222416 is about 242.2838460734.

Adding to 14222416 its reverse (61422241), we get a palindrome (75644657).

The spelling of 14222416 in words is "fourteen million, two hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 677 808 1313 1354 1616 2626 2708 5252 5416 8801 10504 10832 17602 21008 35204 68377 70408 136754 140816 273508 547016 888901 1094032 1777802 3555604 7111208 14222416