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14214912 = 28383223
BaseRepresentation
bin110110001110…
…011100000000
3222202012012020
4312032130000
512114334122
61224401440
7231552615
oct66163400
928665166
1014214912
118029968
124916280
132c391ba
141c6050c
1513abc5c
hexd8e700

14214912 has 72 divisors (see below), whose sum is σ = 38459904. Its totient is φ = 4660224.

The previous prime is 14214911. The next prime is 14214913. The reversal of 14214912 is 21941241.

It is an interprime number because it is at equal distance from previous prime (14214911) and next prime (14214913).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214911) 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, 63633 + ... + 63855.

Almost surely, 214214912 is an apocalyptic number.

14214912 is a gapful number since it is divisible by the number (12) 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 14214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229952).

14214912 is an abundant number, since it is smaller than the sum of its proper divisors (24244992).

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

14214912 is an equidigital number, since it uses as much as digits as its factorization.

14214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14214912 is about 3770.2668340583. The cubic root of 14214912 is about 242.2412274863.

The spelling of 14214912 in words is "fourteen million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 223 249 256 332 384 446 498 664 669 768 892 996 1328 1338 1784 1992 2656 2676 3568 3984 5312 5352 7136 7968 10624 10704 14272 15936 18509 21248 21408 28544 31872 37018 42816 55527 57088 63744 74036 85632 111054 148072 171264 222108 296144 444216 592288 888432 1184576 1776864 2369152 3553728 4738304 7107456 14214912