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14238224 = 24721113127
BaseRepresentation
bin110110010100…
…001000010000
3222210101011122
4312110020100
512121110344
61225101412
7232010600
oct66241020
928711148
1014238224
118045430
124927868
132c469b0
141c68c00
1513b3aee
hexd94210

14238224 has 120 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 5080320.

The previous prime is 14238223. The next prime is 14238233. The reversal of 14238224 is 42283241.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14238193 and 14238202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14238221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112049 + ... + 112175.

Almost surely, 214238224 is an apocalyptic number.

14238224 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 14238224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784).

14238224 is an abundant number, since it is smaller than the sum of its proper divisors (23759344).

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

14238224 is a wasteful number, since it uses less digits than its factorization.

14238224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 14238224 is about 3773.3571259556. The cubic root of 14238224 is about 242.3735777784.

The spelling of 14238224 in words is "fourteen million, two hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 127 143 154 176 182 196 208 254 286 308 364 392 508 539 572 616 637 728 784 889 1001 1016 1078 1144 1232 1274 1397 1456 1651 1778 2002 2032 2156 2288 2548 2794 3302 3556 4004 4312 5096 5588 6223 6604 7007 7112 8008 8624 9779 10192 11176 11557 12446 13208 14014 14224 16016 18161 19558 22352 23114 24892 26416 28028 36322 39116 46228 49784 56056 68453 72644 78232 80899 92456 99568 112112 127127 136906 145288 156464 161798 184912 254254 273812 290576 323596 508508 547624 647192 889889 1017016 1095248 1294384 1779778 2034032 3559556 7119112 14238224