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14221413220 = 2257434750263
BaseRepresentation
bin11010011111010100…
…11000101101100100
31100201010002122102011
431033222120231210
5213111140210340
610311102124004
71012264006060
oct151752305544
940633078364
1014221413220
116038687273
12290a880604
131458452911
1498ca70aa0
155837bc0ea
hex34fa98b64

14221413220 has 96 divisors (see below), whose sum is σ = 35668942848. Its totient is φ = 4661096832.

The previous prime is 14221413163. The next prime is 14221413253. The reversal of 14221413220 is 2231412241.

It is a junction number, because it is equal to n+sod(n) for n = 14221413191 and 14221413200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257809 + ... + 308071.

It is an arithmetic number, because the mean of its divisors is an integer number (371551488).

Almost surely, 214221413220 is an apocalyptic number.

14221413220 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 14221413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834471424).

14221413220 is an abundant number, since it is smaller than the sum of its proper divisors (21447529628).

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

14221413220 is a wasteful number, since it uses less digits than its factorization.

14221413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50369 (or 50367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14221413220 its reverse (2231412241), we get a palindrome (16452825461).

The spelling of 14221413220 in words is "fourteen billion, two hundred twenty-one million, four hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 47 70 86 94 140 172 188 215 235 301 329 430 470 602 658 860 940 1204 1316 1505 1645 2021 3010 3290 4042 6020 6580 8084 10105 14147 20210 28294 40420 50263 56588 70735 100526 141470 201052 251315 282940 351841 502630 703682 1005260 1407364 1759205 2161309 2362361 3518410 4322618 4724722 7036820 8645236 9449444 10806545 11811805 15129163 16536527 21613090 23623610 30258326 33073054 43226180 47247220 60516652 66146108 75645815 82682635 101581523 151291630 165365270 203163046 302583260 330730540 406326092 507907615 711070661 1015815230 1422141322 2031630460 2844282644 3555353305 7110706610 14221413220