Search a number
-
+
113221332 = 223273712143
BaseRepresentation
bin1101011111110…
…01111011010100
321220001020110200
412233321323110
5212441040312
615122420500
72543236230
oct657717324
9256036420
10113221332
1158a01954
1231b01730
131a5c2693
14110735c0
159e170dc
hex6bf9ed4

113221332 has 72 divisors (see below), whose sum is σ = 335951616. Its totient is φ = 31472064.

The previous prime is 113221319. The next prime is 113221349. The reversal of 113221332 is 233122311.

113221332 is a `hidden beast` number, since 11 + 322 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

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, 3253 + ... + 15395.

Almost surely, 2113221332 is an apocalyptic number.

113221332 is a gapful number since it is divisible by the number (12) 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 113221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167975808).

113221332 is an abundant number, since it is smaller than the sum of its proper divisors (222730284).

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

113221332 is a wasteful number, since it uses less digits than its factorization.

113221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197 (or 12192 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113221332 is about 10640.5513015069. The cubic root of 113221332 is about 483.7742555392.

Adding to 113221332 its reverse (233122311), we get a palindrome (346343643).

It can be divided in two parts, 113 and 221332, that added together give a triangular number (221445 = T665).

The spelling of 113221332 in words is "one hundred thirteen million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 12143 24286 36429 48572 72858 85001 109287 145716 170002 218574 255003 340004 437148 449291 510006 765009 898582 1020012 1347873 1530018 1797164 2695746 3060036 3145037 4043619 5391492 6290074 8087238 9435111 12580148 16174476 18870222 28305333 37740444 56610666 113221332