Search a number
-
+
1189224 = 233283199
BaseRepresentation
bin100100010010101101000
32020102022100
410202111220
5301023344
641253400
713052061
oct4422550
92212270
101189224
11742533
12494260
133283aa
1422d568
15187569
hex122568

1189224 has 48 divisors (see below), whose sum is σ = 3276000. Its totient is φ = 389664.

The previous prime is 1189219. The next prime is 1189231. The reversal of 1189224 is 4229811.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

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, 5877 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

21189224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1189224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638000).

1189224 is an abundant number, since it is smaller than the sum of its proper divisors (2086776).

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

1189224 is a wasteful number, since it uses less digits than its factorization.

1189224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1189224 is about 1090.5154744432. The cubic root of 1189224 is about 105.9468108610.

It can be divided in two parts, 1 and 189224, that added together give a square (189225 = 4352).

The spelling of 1189224 in words is "one million, one hundred eighty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 199 249 332 398 498 597 664 747 796 996 1194 1494 1592 1791 1992 2388 2988 3582 4776 5976 7164 14328 16517 33034 49551 66068 99102 132136 148653 198204 297306 396408 594612 1189224