Search a number
-
+
13223332320 = 25351137113599
BaseRepresentation
bin11000101000010110…
…00000100111100000
31021010120000212210220
430110023000213200
5204040133113240
610024045523040
7645454320162
oct142413004740
937116025726
1013223332320
115676254320
122690573480
1313297380c3
148d62a2932
15525d695d0
hex3142c09e0

13223332320 has 384 divisors, whose sum is σ = 47159884800. Its totient is φ = 3086254080.

The previous prime is 13223332273. The next prime is 13223332373. The reversal of 13223332320 is 2323332231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 22075381 + ... + 22075979.

It is an arithmetic number, because the mean of its divisors is an integer number (122812200).

Almost surely, 213223332320 is an apocalyptic number.

13223332320 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 13223332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579942400).

13223332320 is an abundant number, since it is smaller than the sum of its proper divisors (33936552480).

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

13223332320 is a wasteful number, since it uses less digits than its factorization.

13223332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13223332320 its reverse (2323332231), we get a palindrome (15546664551).

It can be divided in two parts, 13223 and 332320, that added together give a palindrome (345543).

The spelling of 13223332320 in words is "thirteen billion, two hundred twenty-three million, three hundred thirty-two thousand, three hundred twenty".