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14212224 = 273213273
BaseRepresentation
bin110110001101…
…110010000000
3222202001111200
4312031302000
512114242344
61224341200
7231542025
oct66156200
928661450
1014212224
118027944
124914800
132c37c00
141c5d54c
1513ab069
hexd8dc80

14212224 has 144 divisors (see below), whose sum is σ = 44891730. Its totient is φ = 4313088.

The previous prime is 14212217. The next prime is 14212259. The reversal of 14212224 is 42221241.

It can be written as a sum of positive squares in 3 ways, for example, as 7617600 + 6594624 = 2760^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×142122242 = 403974622052352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14212197 and 14212206.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194652 + ... + 194724.

Almost surely, 214212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22445865).

14212224 is an abundant number, since it is smaller than the sum of its proper divisors (30679506).

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

14212224 is a wasteful number, since it uses less digits than its factorization.

14212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 14212224 is about 3769.9103437615. The cubic root of 14212224 is about 242.2259574781.

Adding to 14212224 its reverse (42221241), we get a palindrome (56433465).

The spelling of 14212224 in words is "fourteen million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 73 78 96 104 117 128 144 146 156 169 192 208 219 234 288 292 312 338 384 416 438 468 507 576 584 624 657 676 832 876 936 949 1014 1152 1168 1248 1314 1352 1521 1664 1752 1872 1898 2028 2336 2496 2628 2704 2847 3042 3504 3744 3796 4056 4672 4992 5256 5408 5694 6084 7008 7488 7592 8112 8541 9344 10512 10816 11388 12168 12337 14016 14976 15184 16224 17082 21024 21632 22776 24336 24674 28032 30368 32448 34164 37011 42048 45552 48672 49348 60736 64896 68328 74022 84096 91104 97344 98696 111033 121472 136656 148044 182208 194688 197392 222066 273312 296088 364416 394784 444132 546624 592176 789568 888264 1093248 1184352 1579136 1776528 2368704 3553056 4737408 7106112 14212224