Search a number
-
+
224250057000 = 23325341959467
BaseRepresentation
bin1101000011011001011…
…0000101000100101000
3210102211101001012220200
43100312112011010220
512133231003311000
6251004040552200
722126061014434
oct3206626050450
9712741035820
10224250057000
1187116346a22
1237564a82660
13181ba37ab28
14abd4a0d9c4
155c773ab500
hex3436585128

224250057000 has 192 divisors, whose sum is σ = 759786955200. Its totient is φ = 59656291200.

The previous prime is 224250056999. The next prime is 224250057011. The reversal of 224250057000 is 750052422.

224250057000 is a `hidden beast` number, since 2 + 2 + 42 + 50 + 0 + 570 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3741267 + ... + 3800733.

It is an arithmetic number, because the mean of its divisors is an integer number (3957223725).

Almost surely, 2224250057000 is an apocalyptic number.

224250057000 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 224250057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379893477600).

224250057000 is an abundant number, since it is smaller than the sum of its proper divisors (535536898200).

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

224250057000 is a wasteful number, since it uses less digits than its factorization.

224250057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59913 (or 59896 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 224250057000 in words is "two hundred twenty-four billion, two hundred fifty million, fifty-seven thousand".