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22148584080 = 2435721883383
BaseRepresentation
bin10100101000001010…
…001001001010010000
32010011120110122111220
4110220022021022100
5330330014142310
614101441005040
71412601600300
oct245012111220
963146418456
1022148584080
119436331047
124361623780
13211c87656c
1411017bb600
158996cd670
hex528289290

22148584080 has 120 divisors (see below), whose sum is σ = 79870548672. Its totient is φ = 5062530816.

The previous prime is 22148584063. The next prime is 22148584103. The reversal of 22148584080 is 8048584122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 929932 + ... + 953451.

Almost surely, 222148584080 is an apocalyptic number.

22148584080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22148584080 is an abundant number, since it is smaller than the sum of its proper divisors (57721964592).

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

22148584080 is a wasteful number, since it uses less digits than its factorization.

22148584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883413 (or 1883400 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

Adding to 22148584080 its sum of digits (42), we get a palindrome (22148584122).

The spelling of 22148584080 in words is "twenty-two billion, one hundred forty-eight million, five hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1883383 3766766 5650149 7533532 9416915 11300298 13183681 15067064 18833830 22600596 26367362 28250745 30134128 37667660 39551043 45201192 52734724 56501490 65918405 75335320 79102086 90402384 92285767 105469448 113002980 131836810 150670640 158204172 184571534 197755215 210938896 226005960 263673620 276857301 316408344 369143068 395510430 452011920 461428835 527347240 553714602 632816688 738286136 791020860 922857670 1054694480 1107429204 1384286505 1476572272 1582041720 1845715340 2214858408 2768573010 3164083440 3691430680 4429716816 5537146020 7382861360 11074292040 22148584080