Search a number
-
+
223041200 = 24523171759
BaseRepresentation
bin11010100101101…
…01011010110000
3120112200200000012
431102311122300
5424044304300
634044314052
75345550614
oct1522653260
9515620005
10223041200
111049a0178
1262842928
1337293a55
142189d344
15148ab435
hexd4b56b0

223041200 has 60 divisors (see below), whose sum is σ = 537852480. Its totient is φ = 88884480.

The previous prime is 223041157. The next prime is 223041211. The reversal of 223041200 is 2140322.

223041200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125921 + ... + 127679.

It is an arithmetic number, because the mean of its divisors is an integer number (8964208).

Almost surely, 2223041200 is an apocalyptic number.

223041200 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 223041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268926240).

223041200 is an abundant number, since it is smaller than the sum of its proper divisors (314811280).

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

223041200 is a wasteful number, since it uses less digits than its factorization.

223041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 223041200 is about 14934.5639373903. The cubic root of 223041200 is about 606.4500427463.

Adding to 223041200 its reverse (2140322), we get a palindrome (225181522).

The spelling of 223041200 in words is "two hundred twenty-three million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 317 400 634 1268 1585 1759 2536 3170 3518 5072 6340 7036 7925 8795 12680 14072 15850 17590 25360 28144 31700 35180 43975 63400 70360 87950 126800 140720 175900 351800 557603 703600 1115206 2230412 2788015 4460824 5576030 8921648 11152060 13940075 22304120 27880150 44608240 55760300 111520600 223041200