Search a number
-
+
5542132200 = 23352117111827
BaseRepresentation
bin1010010100101011…
…00011100111101000
3112022020111111010120
411022111203213220
542322241212300
62313535043240
7254224226553
oct51225434750
915266444116
105542132200
112394430a50
1210a8070520
136a4275b87
143a80a369a
152268433a0
hex14a5639e8

5542132200 has 192 divisors, whose sum is σ = 19008069120. Its totient is φ = 1324512000.

The previous prime is 5542132199. The next prime is 5542132207. The reversal of 5542132200 is 22312455.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5542132207) 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, 462687 + ... + 474513.

It is an arithmetic number, because the mean of its divisors is an integer number (99000360).

Almost surely, 25542132200 is an apocalyptic number.

5542132200 is a gapful number since it is divisible by the number (50) 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 5542132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504034560).

5542132200 is an abundant number, since it is smaller than the sum of its proper divisors (13465936920).

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

5542132200 is a wasteful number, since it uses less digits than its factorization.

5542132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5542132200 is about 74445.4981849138. The cubic root of 5542132200 is about 1769.6700205187.

Adding to 5542132200 its reverse (22312455), we get a palindrome (5564444655).

The spelling of 5542132200 in words is "five billion, five hundred forty-two million, one hundred thirty-two thousand, two hundred".