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14221440 = 27335823
BaseRepresentation
bin110110010000…
…000010000000
3222202112011000
4312100002000
512120041230
61224452000
7231610632
oct66200200
928675130
1014221440
118033862
12491a000
132c3c16c
141c62a52
1513adb60
hexd90080

14221440 has 128 divisors (see below), whose sum is σ = 50428800. Its totient is φ = 3787776.

The previous prime is 14221421. The next prime is 14221483. The reversal of 14221440 is 4412241.

14221440 is a `hidden beast` number, since 1 + 4 + 221 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16869 + ... + 17691.

It is an arithmetic number, because the mean of its divisors is an integer number (393975).

Almost surely, 214221440 is an apocalyptic number.

14221440 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 14221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214400).

14221440 is an abundant number, since it is smaller than the sum of its proper divisors (36207360).

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

14221440 is an equidigital number, since it uses as much as digits as its factorization.

14221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14221440 is about 3771.1324559076. The cubic root of 14221440 is about 242.2783037792.

Adding to 14221440 its reverse (4412241), we get a palindrome (18633681).

The spelling of 14221440 in words is "fourteen million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 823 864 960 1080 1152 1440 1646 1728 1920 2160 2469 2880 3292 3456 4115 4320 4938 5760 6584 7407 8230 8640 9876 12345 13168 14814 16460 17280 19752 22221 24690 26336 29628 32920 37035 39504 44442 49380 52672 59256 65840 74070 79008 88884 98760 105344 111105 118512 131680 148140 158016 177768 197520 222210 237024 263360 296280 316032 355536 395040 444420 474048 526720 592560 711072 790080 888840 948096 1185120 1422144 1580160 1777680 2370240 2844288 3555360 4740480 7110720 14221440