Search a number
-
+
22514315040 = 2533575912619
BaseRepresentation
bin10100111101111101…
…010010111100100000
32011010001122201002000
4110331331102330200
5332102131040130
614202023524000
71424632343310
oct247575227440
964101581060
1022514315040
119603820138
124443bb9600
13217a579a09
1411381c1440
158bb873260
hex53df52f20

22514315040 has 384 divisors, whose sum is σ = 91590912000. Its totient is φ = 5058505728.

The previous prime is 22514315027. The next prime is 22514315053. The reversal of 22514315040 is 4051341522.

22514315040 is a `hidden beast` number, since 225 + 1 + 431 + 5 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22514315027) and next prime (22514315053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22514314995 and 22514315013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777851 + ... + 1790469.

It is an arithmetic number, because the mean of its divisors is an integer number (238518000).

Almost surely, 222514315040 is an apocalyptic number.

22514315040 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 22514315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45795456000).

22514315040 is an abundant number, since it is smaller than the sum of its proper divisors (69076596960).

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

22514315040 is a wasteful number, since it uses less digits than its factorization.

22514315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22514315040 its reverse (4051341522), we get a palindrome (26565656562).

The spelling of 22514315040 in words is "twenty-two billion, five hundred fourteen million, three hundred fifteen thousand, forty".