Search a number
-
+
1233232 = 247211213
BaseRepresentation
bin100101101000101010000
32022122200021
410231011100
5303430412
642233224
713324300
oct4550520
92278607
101233232
11772600
124b5814
13342430
14241600
15195607
hex12d150

1233232 has 90 divisors (see below), whose sum is σ = 3290154. Its totient is φ = 443520.

The previous prime is 1233209. The next prime is 1233241. The reversal of 1233232 is 2323321.

1233232 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 853776 + 379456 = 924^2 + 616^2 .

It is a super-2 number, since 2×12332322 = 3041722331648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94858 + ... + 94870.

21233232 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 1233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645077).

1233232 is an abundant number, since it is smaller than the sum of its proper divisors (2056922).

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

1233232 is a wasteful number, since it uses less digits than its factorization.

1233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its digits is 216, while the sum is 16.

The square root of 1233232 is about 1110.5097928429. The cubic root of 1233232 is about 107.2378903706.

1233232 divided by its sum of digits (16) gives a palindrome (77077).

Adding to 1233232 its reverse (2323321), we get a palindrome (3556553).

The spelling of 1233232 in words is "one million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 121 143 154 176 182 196 208 242 286 308 364 392 484 539 572 616 637 728 784 847 968 1001 1078 1144 1232 1274 1456 1573 1694 1936 2002 2156 2288 2548 3146 3388 4004 4312 5096 5929 6292 6776 7007 8008 8624 10192 11011 11858 12584 13552 14014 16016 22022 23716 25168 28028 44044 47432 56056 77077 88088 94864 112112 154154 176176 308308 616616 1233232