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2224101120 = 28351933001
BaseRepresentation
bin1000010010010001…
…0001011100000000
312202000001001011120
42010210101130000
514023332213440
61004410112240
7106054355553
oct20444213400
95660031146
102224101120
11a414a10aa
12520a1b680
13295a1c687
1417155269a
15d03ccdd0
hex84911700

2224101120 has 144 divisors (see below), whose sum is σ = 7142406432. Its totient is φ = 589824000.

The previous prime is 2224101071. The next prime is 2224101133. The reversal of 2224101120 is 211014222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2224101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739620 + ... + 742620.

Almost surely, 22224101120 is an apocalyptic number.

2224101120 is a gapful number since it is divisible by the number (20) 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 2224101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571203216).

2224101120 is an abundant number, since it is smaller than the sum of its proper divisors (4918305312).

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

2224101120 is a wasteful number, since it uses less digits than its factorization.

2224101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2224101120 is about 47160.3765888272. The cubic root of 2224101120 is about 1305.3235585902.

Adding to 2224101120 its reverse (211014222), we get a palindrome (2435115342).

The spelling of 2224101120 in words is "two billion, two hundred twenty-four million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 579 640 768 772 960 965 1158 1280 1544 1920 1930 2316 2895 3001 3088 3840 3860 4632 5790 6002 6176 7720 9003 9264 11580 12004 12352 15005 15440 18006 18528 23160 24008 24704 30010 30880 36012 37056 45015 46320 48016 49408 60020 61760 72024 74112 90030 92640 96032 120040 123520 144048 148224 180060 185280 192064 240080 247040 288096 360120 370560 384128 480160 576192 579193 720240 741120 768256 960320 1152384 1158386 1440480 1737579 1920640 2304768 2316772 2880960 2895965 3475158 3841280 4633544 5761920 5791930 6950316 8687895 9267088 11523840 11583860 13900632 17375790 18534176 23167720 27801264 34751580 37068352 46335440 55602528 69503160 74136704 92670880 111205056 139006320 148273408 185341760 222410112 278012640 370683520 444820224 556025280 741367040 1112050560 2224101120