Search a number
-
+
14225159520 = 25335111323027
BaseRepresentation
bin11010011111110001…
…01011010101100000
31100201101010222101000
431033320223111200
5213113120101040
610311314312000
71012340601165
oct151770532540
940641128330
1014225159520
11603a805990
12290bb88600
131459164b70
1498d36806c
15583cac130
hex34fe2b560

14225159520 has 384 divisors, whose sum is σ = 58494804480. Its totient is φ = 3183114240.

The previous prime is 14225159491. The next prime is 14225159579. The reversal of 14225159520 is 2595152241.

14225159520 is a `hidden beast` number, since 1 + 42 + 2 + 5 + 1 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606247 + ... + 629273.

It is an arithmetic number, because the mean of its divisors is an integer number (152330220).

Almost surely, 214225159520 is an apocalyptic number.

14225159520 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 14225159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29247402240).

14225159520 is an abundant number, since it is smaller than the sum of its proper divisors (44269644960).

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

14225159520 is a wasteful number, since it uses less digits than its factorization.

14225159520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23075 (or 23061 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 14225159520 in words is "fourteen billion, two hundred twenty-five million, one hundred fifty-nine thousand, five hundred twenty".