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2154414420 = 22325173172221
BaseRepresentation
bin1000000001101001…
…1100000101010100
312120010220120222200
42000122130011110
513403012230140
6553440324500
7104250135414
oct20032340524
95503816880
102154414420
11a06124494
12501613730
13284460642
141661b2644
15c9215030
hex8069c154

2154414420 has 144 divisors (see below), whose sum is σ = 6944425488. Its totient is φ = 538767360.

The previous prime is 2154414391. The next prime is 2154414467. The reversal of 2154414420 is 244144512.

2154414420 is a `hidden beast` number, since 215 + 4 + 4 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23853456 + 2130560964 = 4884^2 + 46158^2 .

It is a super-4 number, since 4×21544144204 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 968910 + ... + 971130.

It is an arithmetic number, because the mean of its divisors is an integer number (48225177).

Almost surely, 22154414420 is an apocalyptic number.

2154414420 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 2154414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472212744).

2154414420 is an abundant number, since it is smaller than the sum of its proper divisors (4790011068).

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

2154414420 is a wasteful number, since it uses less digits than its factorization.

2154414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2154414420 is about 46415.6699833149. The cubic root of 2154414420 is about 1291.5456144806.

Adding to 2154414420 its reverse (244144512), we get a palindrome (2398558932).

The spelling of 2154414420 in words is "two billion, one hundred fifty-four million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 317 340 510 612 634 765 951 1020 1268 1530 1585 1902 2221 2853 3060 3170 3804 4442 4755 5389 5706 6340 6663 8884 9510 10778 11105 11412 13326 14265 16167 19020 19989 21556 22210 26652 26945 28530 32334 33315 37757 39978 44420 48501 53890 57060 64668 66630 75514 79956 80835 97002 99945 107780 113271 133260 151028 161670 188785 194004 199890 226542 242505 323340 339813 377570 399780 453084 485010 566355 679626 704057 755140 970020 1132710 1359252 1408114 1699065 2112171 2265420 2816228 3398130 3520285 4224342 6336513 6796260 7040570 8448684 10560855 11968969 12673026 14081140 21121710 23937938 25346052 31682565 35906907 42243420 47875876 59844845 63365130 71813814 107720721 119689690 126730260 143627628 179534535 215441442 239379380 359069070 430882884 538603605 718138140 1077207210 2154414420