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2225354120 = 2351147107609
BaseRepresentation
bin1000010010100100…
…0011010110001000
312202002101200221222
42010221003112020
514024142312440
61004453021212
7106101124613
oct20451032610
95662350858
102225354120
11a42177540
12521324808
1329606aab2
1417179b17a
15d05792b5
hex84a43588

2225354120 has 64 divisors (see below), whose sum is σ = 5578502400. Its totient is φ = 791994880.

The previous prime is 2225354113. The next prime is 2225354143. The reversal of 2225354120 is 214535222.

It is a super-3 number, since 3×22253541203 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2225354120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33125 + ... + 74484.

It is an arithmetic number, because the mean of its divisors is an integer number (87164100).

Almost surely, 22225354120 is an apocalyptic number.

2225354120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225354120 is an abundant number, since it is smaller than the sum of its proper divisors (3353148280).

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

2225354120 is a wasteful number, since it uses less digits than its factorization.

2225354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107678 (or 107674 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2225354120 is about 47173.6591754339. The cubic root of 2225354120 is about 1305.5686408775.

Adding to 2225354120 its reverse (214535222), we get a palindrome (2439889342).

The spelling of 2225354120 in words is "two billion, two hundred twenty-five million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 20680 107609 215218 430436 538045 860872 1076090 1183699 2152180 2367398 4304360 4734796 5057623 5918495 9469592 10115246 11836990 20230492 23673980 25288115 40460984 47347960 50576230 55633853 101152460 111267706 202304920 222535412 278169265 445070824 556338530 1112677060 2225354120