Search a number
-
+
3220311132 = 22323719912149
BaseRepresentation
bin1011111111110010…
…0000110001011100
322022102120202101200
42333330200301130
523043344424012
61251314235500
7142542123123
oct27774406134
98272522350
103220311132
111402866465
1275a585b90
133c423075c
14227994aba
1513cab13dc
hexbff20c5c

3220311132 has 72 divisors (see below), whose sum is σ = 8402940000. Its totient is φ = 1039091328.

The previous prime is 3220311131. The next prime is 3220311137. The reversal of 3220311132 is 2311130223.

3220311132 is a `hidden beast` number, since 3 + 220 + 311 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220311131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258994 + ... + 271142.

It is an arithmetic number, because the mean of its divisors is an integer number (116707500).

Almost surely, 23220311132 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 3220311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201470000).

3220311132 is an abundant number, since it is smaller than the sum of its proper divisors (5182628868).

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

3220311132 is a wasteful number, since it uses less digits than its factorization.

3220311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12395 (or 12390 counting only the distinct ones).

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

The square root of 3220311132 is about 56747.7852607483. The cubic root of 3220311132 is about 1476.7238116056.

Adding to 3220311132 its reverse (2311130223), we get a palindrome (5531441355).

The spelling of 3220311132 in words is "three billion, two hundred twenty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 199 222 333 398 444 597 666 796 1194 1332 1791 2388 3582 7164 7363 12149 14726 22089 24298 29452 36447 44178 48596 66267 72894 88356 109341 132534 145788 218682 265068 437364 449513 899026 1348539 1798052 2417651 2697078 4045617 4835302 5394156 7252953 8091234 9670604 14505906 16182468 21758859 29011812 43517718 87035436 89453087 178906174 268359261 357812348 536718522 805077783 1073437044 1610155566 3220311132