Search a number
-
+
224186047008 = 253711219312151
BaseRepresentation
bin1101000011001010000…
…1111001101000100000
3210102122220121011201020
43100302201321220200
512133113112001013
6250553433005440
722124352646410
oct3206241715040
9712586534636
10224186047008
11870931a7300
1237547553880
13181aa0288b1
14abca30a640
155c71965623
hex3432879a20

224186047008 has 864 divisors, whose sum is σ = 809403356160. Its totient is φ = 53032320000.

The previous prime is 224186046961. The next prime is 224186047021. The reversal of 224186047008 is 800740681422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1484675733 + ... + 1484675883.

It is an arithmetic number, because the mean of its divisors is an integer number (936809440).

Almost surely, 2224186047008 is an apocalyptic number.

224186047008 is a gapful number since it is divisible by the number (28) 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 224186047008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404701678080).

224186047008 is an abundant number, since it is smaller than the sum of its proper divisors (585217309152).

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

224186047008 is a wasteful number, since it uses less digits than its factorization.

224186047008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 224186047008 in words is "two hundred twenty-four billion, one hundred eighty-six million, forty-seven thousand, eight".