Search a number
-
+
3322113200 = 245277316253
BaseRepresentation
bin1100011000000011…
…0110110010110000
322120112010211120122
43012000312302300
523300430110300
61305352225412
7145216332140
oct30600666260
98515124518
103322113200
1114552788aa
1278869b268
1340c355573
142372d4920
151469bec85
hexc6036cb0

3322113200 has 120 divisors (see below), whose sum is σ = 9247095648. Its totient is φ = 1123338240.

The previous prime is 3322113187. The next prime is 3322113247. The reversal of 3322113200 is 23112233.

It is a super-2 number, since 2×33221132002 = 22072872227228480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196274 + ... + 212526.

Almost surely, 23322113200 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 3322113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623547824).

3322113200 is an abundant number, since it is smaller than the sum of its proper divisors (5924982448).

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

3322113200 is a wasteful number, since it uses less digits than its factorization.

3322113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16351 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3322113200 is about 57637.7758071909. The cubic root of 3322113200 is about 1492.1236328009.

Adding to 3322113200 its reverse (23112233), we get a palindrome (3345225433).

The spelling of 3322113200 in words is "three billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 112 140 146 175 200 280 292 350 365 400 511 560 584 700 730 1022 1168 1400 1460 1825 2044 2555 2800 2920 3650 4088 5110 5840 7300 8176 10220 12775 14600 16253 20440 25550 29200 32506 40880 51100 65012 81265 102200 113771 130024 162530 204400 227542 260048 325060 406325 455084 568855 650120 812650 910168 1137710 1186469 1300240 1625300 1820336 2275420 2372938 2844275 3250600 4550840 4745876 5688550 5932345 6501200 8305283 9101680 9491752 11377100 11864690 16610566 18983504 22754200 23729380 29661725 33221132 41526415 45508400 47458760 59323450 66442264 83052830 94917520 118646900 132884528 166105660 207632075 237293800 332211320 415264150 474587600 664422640 830528300 1661056600 3322113200