Search a number
-
+
14221312 = 216731
BaseRepresentation
bin110110010000…
…000000000000
3222202111222021
4312100000000
512120040222
61224451224
7231610360
oct66200000
928674867
1014221312
118033756
124919b14
132c3c0a1
141c629a0
1513adac7
hexd90000

14221312 has 68 divisors (see below), whose sum is σ = 33554176. Its totient is φ = 5898240.

The previous prime is 14221309. The next prime is 14221321. The reversal of 14221312 is 21312241.

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

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458737 + ... + 458767.

Almost surely, 214221312 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 14221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777088).

14221312 is an abundant number, since it is smaller than the sum of its proper divisors (19332864).

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

14221312 is an frugal number, since it uses more digits than its factorization.

14221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 40 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 14221312 is about 3771.1154848400. The cubic root of 14221312 is about 242.2775769021.

Adding to 14221312 its reverse (21312241), we get a palindrome (35533553).

The spelling of 14221312 in words is "fourteen million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 8192 13888 14336 15872 16384 27776 28672 31744 32768 55552 57344 63488 65536 111104 114688 126976 222208 229376 253952 444416 458752 507904 888832 1015808 1777664 2031616 3555328 7110656 14221312