Search a number
-
+
23222013144000 = 263531128989849
BaseRepresentation
bin1010100011110110010111…
…10110000010101111000000
310001020000002000122001020220
411101323023312002233000
511020432140331102000
6121220013501503040
74614510063614256
oct521731366025700
9101200060561226
1023222013144000
117443445028900
1227306b9271a80
13cc5a989076a8
145a3d46a385d6
152a40d03c71a0
hex151ecbd82bc0

23222013144000 has 672 divisors, whose sum is σ = 85231580616000. Its totient is φ = 5566263296000.

The previous prime is 23222013143981. The next prime is 23222013144037. The reversal of 23222013144000 is 44131022232.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 258411076 + ... + 258500924.

It is an arithmetic number, because the mean of its divisors is an integer number (126832709250).

Almost surely, 223222013144000 is an apocalyptic number.

23222013144000 is a gapful number since it is divisible by the number (20) 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 23222013144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42615790308000).

23222013144000 is an abundant number, since it is smaller than the sum of its proper divisors (62009567472000).

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

23222013144000 is a wasteful number, since it uses less digits than its factorization.

23222013144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89990 (or 89959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23222013144000 its reverse (44131022232), we get a palindrome (23266144166232).

The spelling of 23222013144000 in words is "twenty-three trillion, two hundred twenty-two billion, thirteen million, one hundred forty-four thousand".