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14022240 = 2535131223
BaseRepresentation
bin110101011111…
…011001100000
3222101101220020
4311133121200
512042202430
61220313440
7230121111
oct65373140
928341806
1014022240
117a08131
124842880
132b9c5ab
141c10208
15136eb10
hexd5f660

14022240 has 96 divisors (see below), whose sum is σ = 44706816. Its totient is φ = 3694080.

The previous prime is 14022221. The next prime is 14022271. The reversal of 14022240 is 4222041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62769 + ... + 62991.

It is an arithmetic number, because the mean of its divisors is an integer number (465696).

Almost surely, 214022240 is an apocalyptic number.

14022240 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 14022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

14022240 is an abundant number, since it is smaller than the sum of its proper divisors (30684576).

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

14022240 is a wasteful number, since it uses less digits than its factorization.

14022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14022240 is about 3744.6281524338. The cubic root of 14022240 is about 241.1417816691.

Adding to 14022240 its reverse (4222041), we get a palindrome (18244281).

The spelling of 14022240 in words is "fourteen million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 223 240 262 393 446 480 524 655 669 786 892 1048 1115 1310 1338 1572 1784 1965 2096 2230 2620 2676 3144 3345 3568 3930 4192 4460 5240 5352 6288 6690 7136 7860 8920 10480 10704 12576 13380 15720 17840 20960 21408 26760 29213 31440 35680 53520 58426 62880 87639 107040 116852 146065 175278 233704 292130 350556 438195 467408 584260 701112 876390 934816 1168520 1402224 1752780 2337040 2804448 3505560 4674080 7011120 14022240