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14980224 = 27375573
BaseRepresentation
bin111001001001…
…010010000000
31001012002000010
4321021102000
512313331344
61253024520
7241221060
oct71112200
931162003
1014980224
118501956
125025140
13314664c
141dbd3a0
1514ad8b9
hexe49480

14980224 has 64 divisors (see below), whose sum is σ = 45483840. Its totient is φ = 4279296.

The previous prime is 14980201. The next prime is 14980237. The reversal of 14980224 is 42208941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×149802242 = 448814222180352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14980191 and 14980200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (710685).

Almost surely, 214980224 is an apocalyptic number.

14980224 is a gapful number since it is divisible by the number (14) 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 14980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741920).

14980224 is an abundant number, since it is smaller than the sum of its proper divisors (30503616).

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

14980224 is an equidigital number, since it uses as much as digits as its factorization.

14980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14980224 is about 3870.4294335384. The cubic root of 14980224 is about 246.5127779680.

The spelling of 14980224 in words is "fourteen million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5573 11146 16719 22292 33438 39011 44584 66876 78022 89168 117033 133752 156044 178336 234066 267504 312088 356672 468132 535008 624176 713344 936264 1070016 1248352 1872528 2140032 2496704 3745056 4993408 7490112 14980224