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2241053040 = 243519796221
BaseRepresentation
bin1000010110010011…
…1100000101110000
312210011221021211110
42011210330011300
514042202144130
61010213313320
7106351431222
oct20544740560
95704837743
102241053040
11a5001a356
12526635840
132993a65b5
141738c6412
15d1b2aab0
hex8593c170

2241053040 has 160 divisors (see below), whose sum is σ = 7406668800. Its totient is φ = 558904320.

The previous prime is 2241052997. The next prime is 2241053063. The reversal of 2241053040 is 403501422.

It is a junction number, because it is equal to n+sod(n) for n = 2241052998 and 2241053016.

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 31 ways as a sum of consecutive naturals, for example, 357130 + ... + 363350.

It is an arithmetic number, because the mean of its divisors is an integer number (46291680).

Almost surely, 22241053040 is an apocalyptic number.

2241053040 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 2241053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703334400).

2241053040 is an abundant number, since it is smaller than the sum of its proper divisors (5165615760).

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

2241053040 is a wasteful number, since it uses less digits than its factorization.

2241053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2241053040 is about 47339.7617231012. The cubic root of 2241053040 is about 1308.6315255062.

Adding to 2241053040 its reverse (403501422), we get a palindrome (2644554462).

The spelling of 2241053040 in words is "two billion, two hundred forty-one million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 79 80 95 114 120 152 158 190 228 237 240 285 304 316 380 395 456 474 570 632 760 790 912 948 1140 1185 1264 1501 1520 1580 1896 2280 2370 3002 3160 3792 4503 4560 4740 6004 6221 6320 7505 9006 9480 12008 12442 15010 18012 18663 18960 22515 24016 24884 30020 31105 36024 37326 45030 49768 60040 62210 72048 74652 90060 93315 99536 118199 120080 124420 149304 180120 186630 236398 248840 298608 354597 360240 373260 472796 491459 497680 590995 709194 746520 945592 982918 1181990 1418388 1474377 1493040 1772985 1891184 1965836 2363980 2457295 2836776 2948754 3545970 3931672 4727960 4914590 5673552 5897508 7091940 7371885 7863344 9337721 9455920 9829180 11795016 14183880 14743770 18675442 19658360 23590032 28013163 28367760 29487540 37350884 39316720 46688605 56026326 58975080 74701768 93377210 112052652 117950160 140065815 149403536 186754420 224105304 280131630 373508840 448210608 560263260 747017680 1120526520 2241053040