Search a number
-
+
22794240000 = 215354753
BaseRepresentation
bin10101001110101001…
…001000000000000000
32011211120101100221010
4111032221020000000
5333140311140000
614245503400520
71434601562130
oct251651100000
964746340833
1022794240000
119737832984
1245018b3140
1321c356919c
14116344aac0
158d6218d50
hex54ea48000

22794240000 has 640 divisors, whose sum is σ = 88443938880. Its totient is φ = 5111808000.

The previous prime is 22794239989. The next prime is 22794240019. The reversal of 22794240000 is 4249722.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 22794240000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 430079974 + ... + 430080026.

Almost surely, 222794240000 is an apocalyptic number.

22794240000 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 22794240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44221969440).

22794240000 is an abundant number, since it is smaller than the sum of its proper divisors (65649698880).

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

22794240000 is an frugal number, since it uses more digits than its factorization.

22794240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 22794240000 its reverse (4249722), we get a palindrome (22798489722).

The spelling of 22794240000 in words is "twenty-two billion, seven hundred ninety-four million, two hundred forty thousand".