Search a number
-
+
20242550240 = 25511231932591
BaseRepresentation
bin10010110110100011…
…001100110111100000
31221020201221002121222
4102312203030313200
5312424043101430
613144352034212
71314425560313
oct226643146740
957221832558
1020242550240
118648434670
123b0b232968
131ba7a0c4a3
14da05c297a
157d71cc9e5
hex4b68ccde0

20242550240 has 192 divisors, whose sum is σ = 54742044672. Its totient is φ = 7001702400.

The previous prime is 20242550231. The next prime is 20242550243. The reversal of 20242550240 is 4205524202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242550243) 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 31 ways as a sum of consecutive naturals, for example, 7811345 + ... + 7813935.

It is an arithmetic number, because the mean of its divisors is an integer number (285114816).

Almost surely, 220242550240 is an apocalyptic number.

20242550240 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 20242550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371022336).

20242550240 is an abundant number, since it is smaller than the sum of its proper divisors (34499494432).

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

20242550240 is a wasteful number, since it uses less digits than its factorization.

20242550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The spelling of 20242550240 in words is "twenty billion, two hundred forty-two million, five hundred fifty thousand, two hundred forty".