Search a number
-
+
244421100 = 2232527113527
BaseRepresentation
bin11101001000110…
…01000111101100
3122000220212201100
432210121013230
51000032433400
640130443100
76025354650
oct1644310754
9560825640
10244421100
11115a73210
1269a33490
133b83b291
1424666a60
15166d1100
hexe9191ec

244421100 has 216 divisors, whose sum is σ = 955438848. Its totient is φ = 50774400.

The previous prime is 244421071. The next prime is 244421101. The reversal of 244421100 is 1124442.

244421100 is a `hidden beast` number, since 244 + 421 + 1 + 0 + 0 = 666.

244421100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (244421101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67537 + ... + 71063.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2244421100 is an apocalyptic number.

244421100 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 244421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477719424).

244421100 is an abundant number, since it is smaller than the sum of its proper divisors (711017748).

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

244421100 is a wasteful number, since it uses less digits than its factorization.

244421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244421100 is about 15633.9726237447. The cubic root of 244421100 is about 625.2392470723.

Adding to 244421100 its reverse (1124442), we get a palindrome (245545542).

The spelling of 244421100 in words is "two hundred forty-four million, four hundred twenty-one thousand, one hundred".