Search a number
-
+
2224300 = 2252132959
BaseRepresentation
bin1000011111000010101100
311012000011111
420133002230
51032134200
6115401404
724622561
oct10370254
94160144
102224300
11128a171
128b3264
135cb570
1441c868
152de0ba
hex21f0ac

2224300 has 72 divisors (see below), whose sum is σ = 5468400. Its totient is φ = 779520.

The previous prime is 2224289. The next prime is 2224337. The reversal of 2224300 is 34222.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37671 + ... + 37729.

It is an arithmetic number, because the mean of its divisors is an integer number (75950).

22224300 is an apocalyptic number.

2224300 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 2224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734200).

2224300 is an abundant number, since it is smaller than the sum of its proper divisors (3244100).

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

2224300 is a wasteful number, since it uses less digits than its factorization.

2224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2224300 is about 1491.4087300267. The cubic root of 2224300 is about 130.5362464946.

Adding to 2224300 its reverse (34222), we get a palindrome (2258522).

The spelling of 2224300 in words is "two million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 59 65 100 116 118 130 145 236 260 290 295 325 377 580 590 650 725 754 767 1180 1300 1450 1475 1508 1534 1711 1885 2900 2950 3068 3422 3770 3835 5900 6844 7540 7670 8555 9425 15340 17110 18850 19175 22243 34220 37700 38350 42775 44486 76700 85550 88972 111215 171100 222430 444860 556075 1112150 2224300