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14216148 = 2234172989
BaseRepresentation
bin110110001110…
…101111010100
3222202020220000
4312032233110
512114404043
61224411300
7231556332
oct66165724
928666800
1014216148
11802a891
124916b30
132c3992b
141c60b52
1513ac2d3
hexd8ebd4

14216148 has 120 divisors (see below), whose sum is σ = 41164200. Its totient is φ = 4257792.

The previous prime is 14216141. The next prime is 14216171. The reversal of 14216148 is 84161241.

It is a happy number.

14216148 is a `hidden beast` number, since 1 + 42 + 1 + 614 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 12194064 = 1422^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14216141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159688 + ... + 159776.

It is an arithmetic number, because the mean of its divisors is an integer number (343035).

Almost surely, 214216148 is an apocalyptic number.

14216148 is a gapful number since it is divisible by the number (18) 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 14216148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582100).

14216148 is an abundant number, since it is smaller than the sum of its proper divisors (26948052).

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

14216148 is a wasteful number, since it uses less digits than its factorization.

14216148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14216148 is about 3770.4307446232. The cubic root of 14216148 is about 242.2482483171.

Adding to 14216148 its reverse (84161241), we get a palindrome (98377389).

It can be divided in two parts, 1421 and 6148, that added together give a square (7569 = 872).

The spelling of 14216148 in words is "fourteen million, two hundred sixteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 81 87 89 102 108 116 153 162 174 178 204 261 267 306 324 348 356 459 493 522 534 612 783 801 918 986 1044 1068 1377 1479 1513 1566 1602 1836 1972 2349 2403 2581 2754 2958 3026 3132 3204 4437 4539 4698 4806 5162 5508 5916 6052 7209 7743 8874 9078 9396 9612 10324 13311 13617 14418 15486 17748 18156 23229 26622 27234 28836 30972 39933 40851 43877 46458 53244 54468 69687 79866 81702 87754 92916 122553 131631 139374 159732 163404 175508 209061 245106 263262 278748 394893 418122 490212 526524 789786 836244 1184679 1579572 2369358 3554037 4738716 7108074 14216148