Search a number
-
+
2381428224 = 29327253199
BaseRepresentation
bin1000110111110001…
…1011011000000000
320010222002002101100
42031330123120000
514334121200344
61032150134400
7113004543300
oct21574333000
96128062340
102381428224
1110122882aa
12565651400
132bc4b5636
141883c7600
15de108569
hex8df1b600

2381428224 has 360 divisors, whose sum is σ = 8186864400. Its totient is φ = 664215552.

The previous prime is 2381428223. The next prime is 2381428229. The reversal of 2381428224 is 4228241832.

2381428224 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 428 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381428223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11966877 + ... + 11967075.

It is an arithmetic number, because the mean of its divisors is an integer number (22741290).

Almost surely, 22381428224 is an apocalyptic number.

2381428224 is a gapful number since it is divisible by the number (24) 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 2381428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093432200).

2381428224 is an abundant number, since it is smaller than the sum of its proper divisors (5805436176).

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

2381428224 is a wasteful number, since it uses less digits than its factorization.

2381428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2381428224 is about 48799.8793441131. The cubic root of 2381428224 is about 1335.4034651412.

The spelling of 2381428224 in words is "two billion, three hundred eighty-one million, four hundred twenty-eight thousand, two hundred twenty-four".