Search a number
-
+
14842224 = 2433174347
BaseRepresentation
bin111000100111…
…100101110000
31000221001201000
4320213211300
512244422344
61250042000
7240104535
oct70474560
930831630
1014842224
118418201
124b79300
1330c88a7
141d84d8c
151482a69
hexe27970

14842224 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 4451328.

The previous prime is 14842193. The next prime is 14842259. The reversal of 14842224 is 42224841.

14842224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148422242 = 440583226532352, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315769 + ... + 315815.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 214842224 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 14842224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

14842224 is an abundant number, since it is smaller than the sum of its proper divisors (32297616).

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

14842224 is a wasteful number, since it uses less digits than its factorization.

14842224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 14842224 is about 3852.5607068546. The cubic root of 14842224 is about 245.7534710485.

The spelling of 14842224 in words is "fourteen million, eight hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 47 48 51 54 68 72 86 94 102 108 129 136 141 144 153 172 188 204 216 258 272 282 306 344 376 387 408 423 432 459 516 564 612 688 731 752 774 799 816 846 918 1032 1128 1161 1224 1269 1462 1548 1598 1692 1836 2021 2064 2193 2256 2322 2397 2448 2538 2924 3096 3196 3384 3672 4042 4386 4644 4794 5076 5848 6063 6192 6392 6579 6768 7191 7344 8084 8772 9288 9588 10152 11696 12126 12784 13158 14382 16168 17544 18189 18576 19176 19737 20304 21573 24252 26316 28764 32336 34357 35088 36378 38352 39474 43146 48504 52632 54567 57528 68714 72756 78948 86292 97008 103071 105264 109134 115056 137428 145512 157896 172584 206142 218268 274856 291024 309213 315792 345168 412284 436536 549712 618426 824568 873072 927639 1236852 1649136 1855278 2473704 3710556 4947408 7421112 14842224