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14457216 = 27337649
BaseRepresentation
bin110111001001…
…100110000000
31000012111120110
4313021212000
512200112331
61233511320
7233612214
oct67114600
930174513
1014457216
118184a14
124a12540
132cc2587
141cc4944
151408946
hexdc9980

14457216 has 32 divisors (see below), whose sum is σ = 38403000. Its totient is φ = 4818944.

The previous prime is 14457211. The next prime is 14457227. The reversal of 14457216 is 61275441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×144572162 = 418022188941312, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18441 + ... + 19208.

Almost surely, 214457216 is an apocalyptic number.

14457216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14457216 is an abundant number, since it is smaller than the sum of its proper divisors (23945784).

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

14457216 is an equidigital number, since it uses as much as digits as its factorization.

14457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37666 (or 37654 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 14457216 is about 3802.2645883736. The cubic root of 14457216 is about 243.6098755437.

The spelling of 14457216 in words is "fourteen million, four hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 37649 75298 112947 150596 225894 301192 451788 602384 903576 1204768 1807152 2409536 3614304 4819072 7228608 14457216