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14122240 = 285111759
BaseRepresentation
bin110101110111…
…110100000000
3222120111001221
4311313310000
512103402430
61222404424
7231015466
oct65676400
928514057
1014122240
117a76280
124890714
132c05c72
141c38836
15138e57a
hexd77d00

14122240 has 144 divisors (see below), whose sum is σ = 39735360. Its totient is φ = 4751360.

The previous prime is 14122237. The next prime is 14122243. The reversal of 14122240 is 4222141.

14122240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14122237) and next prime (14122243).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239331 + ... + 239389.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 214122240 is an apocalyptic number.

14122240 is a gapful number since it is divisible by the number (10) 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 14122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19867680).

14122240 is an abundant number, since it is smaller than the sum of its proper divisors (25613120).

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

14122240 is a wasteful number, since it uses less digits than its factorization.

14122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14122240 is about 3757.9568917166. The cubic root of 14122240 is about 241.7136608306.

Adding to 14122240 its reverse (4222141), we get a palindrome (18344381).

Subtracting from 14122240 its reverse (4222141), we obtain a palindrome (9900099).

The spelling of 14122240 in words is "fourteen million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 59 64 68 80 85 88 110 118 128 136 160 170 176 187 220 236 256 272 295 320 340 352 374 440 472 544 590 640 649 680 704 748 880 935 944 1003 1088 1180 1280 1298 1360 1408 1496 1760 1870 1888 2006 2176 2360 2596 2720 2816 2992 3245 3520 3740 3776 4012 4352 4720 5015 5192 5440 5984 6490 7040 7480 7552 8024 9440 10030 10384 10880 11033 11968 12980 14080 14960 15104 16048 18880 20060 20768 21760 22066 23936 25960 29920 32096 37760 40120 41536 44132 47872 51920 55165 59840 64192 75520 80240 83072 88264 103840 110330 119680 128384 160480 166144 176528 207680 220660 239360 256768 320960 353056 415360 441320 641920 706112 830720 882640 1283840 1412224 1765280 2824448 3530560 7061120 14122240