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22185500225 = 5271761122251
BaseRepresentation
bin10100101010010110…
…111101111001000001
32010021010221011221112
4110222112331321001
5330413442001400
614105240133105
71413530432450
oct245226757101
963233834845
1022185500225
119455155759
124371a67195
132127400535
14110666ab97
1589ca71835
hex52a5bde41

22185500225 has 48 divisors (see below), whose sum is σ = 33835441536. Its totient is φ = 14083200000.

The previous prime is 22185500213. The next prime is 22185500251. The reversal of 22185500225 is 52200558122.

It is not a de Polignac number, because 22185500225 - 210 = 22185499201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22185500191 and 22185500200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120350 + ... + 242600.

It is an arithmetic number, because the mean of its divisors is an integer number (704905032).

Almost surely, 222185500225 is an apocalyptic number.

22185500225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22185500225 is a deficient number, since it is larger than the sum of its proper divisors (11649941311).

22185500225 is a wasteful number, since it uses less digits than its factorization.

22185500225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122346 (or 122341 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 22185500225 in words is "twenty-two billion, one hundred eighty-five million, five hundred thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 61 85 119 175 305 425 427 595 1037 1525 2135 2975 5185 7259 10675 25925 36295 122251 181475 611255 855757 2078267 3056275 4278785 7457311 10391335 14547869 21393925 37286555 51956675 52201177 72739345 126774287 186432775 261005885 363696725 633871435 887420009 1305029425 3169357175 4437100045 22185500225