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14497216 = 262973107
BaseRepresentation
bin110111010011…
…010111000000
31000021112102221
4313103113000
512202402331
61234420424
7234136636
oct67232700
930245387
1014497216
118201a78
124a31714
133007846
141cd5356
151415711
hexdd35c0

14497216 has 56 divisors (see below), whose sum is σ = 30449520. Its totient is φ = 6838272.

The previous prime is 14497213. The next prime is 14497261. The reversal of 14497216 is 61279441.

14497216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14497213) 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, 135435 + ... + 135541.

Almost surely, 214497216 is an apocalyptic number.

14497216 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 14497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224760).

14497216 is an abundant number, since it is smaller than the sum of its proper divisors (15952304).

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

14497216 is a wasteful number, since it uses less digits than its factorization.

14497216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 14497216 is about 3807.5209782744. The cubic root of 14497216 is about 243.8343406581.

The spelling of 14497216 in words is "fourteen million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 73 107 116 146 214 232 292 428 464 584 856 928 1168 1712 1856 2117 2336 3103 3424 4234 4672 6206 6848 7811 8468 12412 15622 16936 24824 31244 33872 49648 62488 67744 99296 124976 135488 198592 226519 249952 453038 499904 906076 1812152 3624304 7248608 14497216