Search a number
-
+
41222341200 = 24352176073329
BaseRepresentation
bin100110011001000010…
…110000001001010000
310221101212002220101210
4212121002300021100
51133410404404300
630534241500120
72656346055525
oct463102601120
9127355086353
1041222341200
1116533a34087
127ba5341640
133b6c399991
141dd0a7514c
151113e87050
hex9990b0250

41222341200 has 240 divisors, whose sum is σ = 140088890880. Its totient is φ = 10325852160.

The previous prime is 41222341159. The next prime is 41222341201. The reversal of 41222341200 is 214322214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41222341201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12381136 + ... + 12384464.

It is an arithmetic number, because the mean of its divisors is an integer number (583703712).

Almost surely, 241222341200 is an apocalyptic number.

41222341200 is a gapful number since it is divisible by the number (40) 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 41222341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70044445440).

41222341200 is an abundant number, since it is smaller than the sum of its proper divisors (98866549680).

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

41222341200 is a wasteful number, since it uses less digits than its factorization.

41222341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41222341200 its reverse (214322214), we get a palindrome (41436663414).

The spelling of 41222341200 in words is "forty-one billion, two hundred twenty-two million, three hundred forty-one thousand, two hundred".