Search a number
-
+
22889889792 = 219347211
BaseRepresentation
bin10101010100010110…
…000000000000000000
32012002020100212210000
4111110112000000000
5333334302433132
614303201440000
71440142565400
oct252426000000
965066325700
1022889889792
119786822aa0
124529940000
13220a3188b3
141172028800
158de80e87c
hex554580000

22889889792 has 600 divisors, whose sum is σ = 86784261300. Its totient is φ = 5945425920.

The previous prime is 22889889791. The next prime is 22889889821. The reversal of 22889889792 is 29798898822.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22889889792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22889889791) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2080899067 + ... + 2080899077.

Almost surely, 222889889792 is an apocalyptic number.

22889889792 is a gapful number since it is divisible by the number (22) 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 22889889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43392130650).

22889889792 is an abundant number, since it is smaller than the sum of its proper divisors (63894371508).

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

22889889792 is an frugal number, since it uses more digits than its factorization.

22889889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 22889889792 in words is "twenty-two billion, eight hundred eighty-nine million, eight hundred eighty-nine thousand, seven hundred ninety-two".