Search a number
-
+
13022232000 = 263532331761
BaseRepresentation
bin11000010000010111…
…10111110111000000
31020121112121221000220
430020023313313000
5203132142411000
65552103343040
7640463100651
oct141013676700
936545557026
1013022232000
11558278a708
122635151a80
1312c6b8702b
148b76b5528
155133941a0
hex3082f7dc0

13022232000 has 448 divisors, whose sum is σ = 46377197568. Its totient is φ = 3210240000.

The previous prime is 13022231987. The next prime is 13022232059. The reversal of 13022232000 is 23222031.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 17111620 + ... + 17112380.

Almost surely, 213022232000 is an apocalyptic number.

13022232000 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 13022232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188598784).

13022232000 is an abundant number, since it is smaller than the sum of its proper divisors (33354965568).

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

13022232000 is a wasteful number, since it uses less digits than its factorization.

13022232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13022232000 its reverse (23222031), we get a palindrome (13045454031).

The spelling of 13022232000 in words is "thirteen billion, twenty-two million, two hundred thirty-two thousand".