Search a number
-
+
14224621320 = 233257131922853
BaseRepresentation
bin11010011111101101…
…00111111100001000
31100201100010122002200
431033312213330020
5213113000340240
610311255000200
71012333200120
oct151766477410
940640118080
1014224621320
11603a478598
12290b969060
131459006bc0
1498d267c80
15583c02930
hex34fda7f08

14224621320 has 384 divisors, whose sum is σ = 59895763200. Its totient is φ = 2843154432.

The previous prime is 14224621283. The next prime is 14224621349. The reversal of 14224621320 is 2312642241.

14224621320 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 621 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611014 + ... + 633866.

It is an arithmetic number, because the mean of its divisors is an integer number (155978550).

Almost surely, 214224621320 is an apocalyptic number.

14224621320 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 14224621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29947881600).

14224621320 is an abundant number, since it is smaller than the sum of its proper divisors (45671141880).

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

14224621320 is a wasteful number, since it uses less digits than its factorization.

14224621320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22909 (or 22902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14224621320 in words is "fourteen billion, two hundred twenty-four million, six hundred twenty-one thousand, three hundred twenty".