Search a number
-
+
22520204000 = 255372891291
BaseRepresentation
bin10100111110010011…
…110000101011100000
32011010110201220012122
4110332103300223200
5332110133012000
614202354043412
71425033401300
oct247623605340
964113656178
1022520204000
119607082648
124445b79568
13217b85c2c8
141138cb5600
158bc138085
hex53e4f0ae0

22520204000 has 288 divisors, whose sum is σ = 65139590880. Its totient is φ = 7628544000.

The previous prime is 22520203999. The next prime is 22520204009. The reversal of 22520204000 is 40202522.

It is a self number, because there is not a number n which added to its sum of digits gives 22520204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22520204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17443355 + ... + 17444645.

It is an arithmetic number, because the mean of its divisors is an integer number (226179135).

Almost surely, 222520204000 is an apocalyptic number.

22520204000 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 22520204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32569795440).

22520204000 is an abundant number, since it is smaller than the sum of its proper divisors (42619386880).

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

22520204000 is a wasteful number, since it uses less digits than its factorization.

22520204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 22520204000 its reverse (40202522), we get a palindrome (22560406522).

The spelling of 22520204000 in words is "twenty-two billion, five hundred twenty million, two hundred four thousand".