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14219216 = 2411173467
BaseRepresentation
bin110110001111…
…011111010000
3222202102002122
4312033133100
512120003331
61224433412
7231601304
oct66173720
928672078
1014219216
118032120
124918868
132c3b14b
141c61d04
1513ad17b
hexd8f7d0

14219216 has 40 divisors (see below), whose sum is σ = 30292704. Its totient is φ = 6412160.

The previous prime is 14219213. The next prime is 14219237. The reversal of 14219216 is 61291241.

It is a super-2 number, since 2×142192162 = 404372207309312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14219213) 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, 30215 + ... + 30681.

Almost surely, 214219216 is an apocalyptic number.

14219216 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 14219216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146352).

14219216 is an abundant number, since it is smaller than the sum of its proper divisors (16073488).

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

14219216 is a wasteful number, since it uses less digits than its factorization.

14219216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 14219216 is about 3770.8375727416. The cubic root of 14219216 is about 242.2656736696.

The spelling of 14219216 in words is "fourteen million, two hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 173 176 346 467 692 934 1384 1868 1903 2768 3736 3806 5137 7472 7612 10274 15224 20548 30448 41096 80791 82192 161582 323164 646328 888701 1292656 1777402 3554804 7109608 14219216