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3322001120 = 255431134273
BaseRepresentation
bin1100011000000001…
…1011011011100000
322120111221010211112
43012000123123200
523300413013440
61305350002452
7145215354314
oct30600333340
98514833745
103322001120
111455201679
12788646428
1340c316549
142372a5b44
1514699b965
hexc601b6e0

3322001120 has 96 divisors (see below), whose sum is σ = 8103709152. Its totient is φ = 1286111232.

The previous prime is 3322001107. The next prime is 3322001141. The reversal of 3322001120 is 211002233.

It is a happy number.

It is a super-2 number, since 2×33220011202 = 22071382882562508800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3322001095 and 3322001104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 775304 + ... + 779576.

It is an arithmetic number, because the mean of its divisors is an integer number (84413637).

Almost surely, 23322001120 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 3322001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051854576).

3322001120 is an abundant number, since it is smaller than the sum of its proper divisors (4781708032).

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

3322001120 is a wasteful number, since it uses less digits than its factorization.

3322001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3322001120 is about 57636.8035199732. The cubic root of 3322001120 is about 1492.1068524077.

Adding to 3322001120 its reverse (211002233), we get a palindrome (3533003353).

The spelling of 3322001120 in words is "three billion, three hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 113 160 172 215 226 344 430 452 565 688 860 904 1130 1376 1720 1808 2260 3440 3616 4273 4520 4859 6880 8546 9040 9718 17092 18080 19436 21365 24295 34184 38872 42730 48590 68368 77744 85460 97180 136736 155488 170920 183739 194360 341840 367478 388720 482849 683680 734956 777440 918695 965698 1469912 1837390 1931396 2414245 2939824 3674780 3862792 4828490 5879648 7349560 7725584 9656980 14699120 15451168 19313960 20762507 29398240 38627920 41525014 77255840 83050028 103812535 166100056 207625070 332200112 415250140 664400224 830500280 1661000560 3322001120