Search a number
-
+
182240000 = 28541767
BaseRepresentation
bin10101101110011…
…00001100000000
3110200220202021122
422313030030000
5333123140000
630030011412
74342004645
oct1267141400
9420822248
10182240000
1193962678
1251046b68
132b9a9627
141a2bbdcc
1510eec085
hexadcc300

182240000 has 180 divisors, whose sum is σ = 488487384. Its totient is φ = 67584000.

The previous prime is 182239999. The next prime is 182240027. The reversal of 182240000 is 42281.

It is a super-2 number, since 2×1822400002 = 66422835200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2719967 + ... + 2720033.

Almost surely, 2182240000 is an apocalyptic number.

182240000 is a gapful number since it is divisible by the number (10) 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 182240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244243692).

182240000 is an abundant number, since it is smaller than the sum of its proper divisors (306247384).

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

182240000 is an frugal number, since it uses more digits than its factorization.

182240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 182240000 is about 13499.6296245490. The cubic root of 182240000 is about 566.9541025425.

Adding to 182240000 its reverse (42281), we get a palindrome (182282281).

The spelling of 182240000 in words is "one hundred eighty-two million, two hundred forty thousand".