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14226696 = 23321122371
BaseRepresentation
bin110110010001…
…010100001000
3222202210100200
4312101110020
512120223241
61224532200
7231632151
oct66212410
928683320
1014226696
118037800
124921060
132c41683
141c64928
1513b04b6
hexd91508

14226696 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 4065600.

The previous prime is 14226683. The next prime is 14226697. The reversal of 14226696 is 69662241.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (31104) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 14226696.

It is not an unprimeable number, because it can be changed into a prime (14226697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200341 + ... + 200411.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 214226696 is an apocalyptic number.

14226696 is the 2178-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14226696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

14226696 is an abundant number, since it is smaller than the sum of its proper divisors (30588984).

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

14226696 is a wasteful number, since it uses less digits than its factorization.

14226696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14226696 is about 3771.8292644286. The cubic root of 14226696 is about 242.3081474031.

It can be divided in two parts, 1422 and 6696, that added together give a palindrome (8118).

The spelling of 14226696 in words is "fourteen million, two hundred twenty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 71 72 88 92 99 121 132 138 142 184 198 207 213 242 253 264 276 284 363 396 414 426 484 506 552 568 639 726 759 781 792 828 852 968 1012 1089 1278 1452 1518 1562 1633 1656 1704 2024 2178 2277 2343 2556 2783 2904 3036 3124 3266 4356 4554 4686 4899 5112 5566 6072 6248 6532 7029 8349 8591 8712 9108 9372 9798 11132 13064 14058 14697 16698 17182 17963 18216 18744 19596 22264 25047 25773 28116 29394 33396 34364 35926 39192 50094 51546 53889 56232 58788 66792 68728 71852 77319 100188 103092 107778 117576 143704 154638 161667 197593 200376 206184 215556 309276 323334 395186 431112 592779 618552 646668 790372 1185558 1293336 1580744 1778337 2371116 3556674 4742232 7113348 14226696