Search a number
-
+
14307450220 = 2257283917401
BaseRepresentation
bin11010101001100101…
…00101110101101100
31100221002222202222201
431110302211311230
5213300201401340
610323414151244
71014360214600
oct152462456554
940832882881
1014307450220
116082201128
122933652524
131470217a9b
1499a269500
1558b11479a
hex354ca5d6c

14307450220 has 72 divisors (see below), whose sum is σ = 34994725920. Its totient is φ = 4899283200.

The previous prime is 14307450203. The next prime is 14307450221. The reversal of 14307450220 is 2205470341.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (14307450221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813520 + ... + 830920.

It is an arithmetic number, because the mean of its divisors is an integer number (486037860).

Almost surely, 214307450220 is an apocalyptic number.

14307450220 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 14307450220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497362960).

14307450220 is an abundant number, since it is smaller than the sum of its proper divisors (20687275700).

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

14307450220 is a wasteful number, since it uses less digits than its factorization.

14307450220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18254 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 14307450220 in words is "fourteen billion, three hundred seven million, four hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 839 980 1678 3356 4195 5873 8390 11746 16780 17401 23492 29365 34802 41111 58730 69604 82222 87005 117460 121807 164444 174010 205555 243614 348020 411110 487228 609035 822220 852649 1218070 1705298 2436140 3410596 4263245 8526490 14599439 17052980 29198878 58397756 72997195 102196073 145994390 204392146 291988780 408784292 510980365 715372511 1021960730 1430745022 2043921460 2861490044 3576862555 7153725110 14307450220