Search a number
-
+
224103450 = 235237149271
BaseRepresentation
bin11010101101110…
…00110000011010
3120121200122010210
431112320300122
5424332302300
634123151550
75360563554
oct1526706032
9517618123
10224103450
1110555626a
12630755b6
13375763bc
1421a984d4
1514a1b050
hexd5b8c1a

224103450 has 96 divisors (see below), whose sum is σ = 576748800. Its totient is φ = 57542400.

The previous prime is 224103449. The next prime is 224103463. The reversal of 224103450 is 54301422.

224103450 is digitally balanced in base 2 and base 3, because in such bases 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 47 ways as a sum of consecutive naturals, for example, 826815 + ... + 827085.

It is an arithmetic number, because the mean of its divisors is an integer number (6007800).

Almost surely, 2224103450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224103450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288374400).

224103450 is an abundant number, since it is smaller than the sum of its proper divisors (352645350).

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

224103450 is a wasteful number, since it uses less digits than its factorization.

224103450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 224103450 is about 14970.0851700984. The cubic root of 224103450 is about 607.4112725842.

Adding to 224103450 its reverse (54301422), we get a palindrome (278404872).

The spelling of 224103450 in words is "two hundred twenty-four million, one hundred three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 149 150 185 222 271 298 370 447 542 555 745 813 894 925 1110 1355 1490 1626 1850 2235 2710 2775 3725 4065 4470 5513 5550 6775 7450 8130 10027 11026 11175 13550 16539 20054 20325 22350 27565 30081 33078 40379 40650 50135 55130 60162 80758 82695 100270 121137 137825 150405 165390 201895 242274 250675 275650 300810 403790 413475 501350 605685 752025 826950 1009475 1211370 1494023 1504050 2018950 2988046 3028425 4482069 6056850 7470115 8964138 14940230 22410345 37350575 44820690 74701150 112051725 224103450