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228165722583642 = 23217373270944953
BaseRepresentation
bin110011111000001111111000…
…110110000011001001011010
31002220212102121111202111001200
4303320033320312003021122
5214401231344440134032
62125133515205455030
766026300210150334
oct6370177066031132
91086772544674050
10228165722583642
11667785a3148548
1221710066a11476
139a40c20b7aa3c
14404b3cc06c454
151b5a1a9e1347c
hexcf83f8d8325a

228165722583642 has 24 divisors (see below), whose sum is σ = 497216632457844. Its totient is φ = 75615615190464.

The previous prime is 228165722583641. The next prime is 228165722583661. The reversal of 228165722583642 is 246385227561822.

228165722583642 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 6 + 5 + 7 + 2 + 2 + 583 + 6 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156911172963561 + 71254549620081 = 12526419^2 + 8441241^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 228165722583642.

It is not an unprimeable number, because it can be changed into a prime (228165722583641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36635469363 + ... + 36635475590.

Almost surely, 2228165722583642 is an apocalyptic number.

228165722583642 is an abundant number, since it is smaller than the sum of its proper divisors (269050909874202).

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

228165722583642 is a wasteful number, since it uses less digits than its factorization.

228165722583642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73270945134 (or 73270945131 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 228165722583642 in words is "two hundred twenty-eight trillion, one hundred sixty-five billion, seven hundred twenty-two million, five hundred eighty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 73270944953 146541889906 219812834859 439625669718 659438504577 1318877009154 12675873476869 25351746953738 38027620430607 76055240861214 114082861291821 228165722583642