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3322225320 = 23351012691019
BaseRepresentation
bin1100011000000101…
…0010001010101000
322120112100112101020
43012001102022220
523300442202240
61305354452440
7145220310051
oct30601221250
98515315336
103322225320
111455345067
12788734120
1340c3945cb
14237323728
151469e30d0
hexc60522a8

3322225320 has 128 divisors (see below), whose sum is σ = 10112688000. Its totient is φ = 873036800.

The previous prime is 3322225307. The next prime is 3322225321. The reversal of 3322225320 is 235222233.

It is a super-2 number, since 2×33222253202 = 22074362153698204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3322225321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259771 + ... + 3260789.

It is an arithmetic number, because the mean of its divisors is an integer number (79005375).

Almost surely, 23322225320 is an apocalyptic number.

3322225320 is a gapful number since it is divisible by the number (30) 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 3322225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056344000).

3322225320 is an abundant number, since it is smaller than the sum of its proper divisors (6790462680).

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

3322225320 is a wasteful number, since it uses less digits than its factorization.

3322225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3322225320 is about 57638.7484249962. The cubic root of 3322225320 is about 1492.1404188053.

Adding to 3322225320 its reverse (235222233), we get a palindrome (3557447553).

The spelling of 3322225320 in words is "three billion, three hundred twenty-two million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 269 303 404 505 538 606 807 808 1010 1019 1076 1212 1345 1515 1614 2020 2038 2152 2424 2690 3030 3057 3228 4035 4040 4076 5095 5380 6060 6114 6456 8070 8152 10190 10760 12120 12228 15285 16140 20380 24456 27169 30570 32280 40760 54338 61140 81507 102919 108676 122280 135845 163014 205838 217352 271690 274111 308757 326028 407535 411676 514595 543380 548222 617514 652056 815070 822333 823352 1029190 1086760 1096444 1235028 1370555 1543785 1630140 1644666 2058380 2192888 2470056 2741110 3087570 3260280 3289332 4111665 4116760 5482220 6175140 6578664 8223330 10964440 12350280 16446660 27685211 32893320 55370422 83055633 110740844 138426055 166111266 221481688 276852110 332222532 415278165 553704220 664445064 830556330 1107408440 1661112660 3322225320