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225779904162 = 2321119972
BaseRepresentation
bin1101001001000110000…
…1111110111010100010
3210120202222201111200200
43102101201332322202
512144344123413122
6251415530530030
722212015343311
oct3222141767242
9716688644620
10225779904162
118783096281a
1237911296916
13183a22c0637
14acdbc82278
155d1684e5ac
hex349187eea2

225779904162 has 18 divisors (see below), whose sum is σ = 489194160273. Its totient is φ = 75259296072.

The previous prime is 225779904151. The next prime is 225779904187. The reversal of 225779904162 is 261409977522.

225779904162 is a `hidden beast` number, since 2 + 2 + 577 + 9 + 9 + 0 + 4 + 1 + 62 = 666.

225779904162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140946934041 + 84832970121 = 375429^2 + 291261^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335991.

It is a junction number, because it is equal to n+sod(n) for n = 225779904099 and 225779904108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1959948 + ... + 2071944.

Almost surely, 2225779904162 is an apocalyptic number.

225779904162 is an abundant number, since it is smaller than the sum of its proper divisors (263414256111).

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

225779904162 is an frugal number, since it uses more digits than its factorization.

225779904162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224002 (or 112002 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 225779904162 in words is "two hundred twenty-five billion, seven hundred seventy-nine million, nine hundred four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 111997 223994 335991 671982 1007973 2015946 12543328009 25086656018 37629984027 75259968054 112889952081 225779904162