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14222304 = 25353159
BaseRepresentation
bin110110010000…
…001111100000
3222202120100000
4312100033200
512120103204
61224500000
7231613305
oct66201740
928676300
1014222304
118034478
12491a600
132c3c685
141c630ac
1513ae039
hexd903e0

14222304 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 4510080.

The previous prime is 14222269. The next prime is 14222321. The reversal of 14222304 is 40322241.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241027 + ... + 241085.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 214222304 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 14222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

14222304 is an abundant number, since it is smaller than the sum of its proper divisors (29807136).

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

14222304 is an equidigital number, since it uses as much as digits as its factorization.

14222304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14222304 is about 3771.2470086166. The cubic root of 14222304 is about 242.2832100853.

Adding to 14222304 its reverse (40322241), we get a palindrome (54544545).

The spelling of 14222304 in words is "fourteen million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 59 62 72 81 93 96 108 118 124 144 162 177 186 216 236 243 248 279 288 324 354 372 432 472 486 496 531 558 648 708 744 837 864 944 972 992 1062 1116 1296 1416 1488 1593 1674 1829 1888 1944 2124 2232 2511 2592 2832 2976 3186 3348 3658 3888 4248 4464 4779 5022 5487 5664 6372 6696 7316 7533 7776 8496 8928 9558 10044 10974 12744 13392 14337 14632 15066 16461 16992 19116 20088 21948 25488 26784 28674 29264 30132 32922 38232 40176 43896 49383 50976 57348 58528 60264 65844 76464 80352 87792 98766 114696 120528 131688 148149 152928 175584 197532 229392 241056 263376 296298 395064 444447 458784 526752 592596 790128 888894 1185192 1580256 1777788 2370384 3555576 4740768 7111152 14222304