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2218182228 = 223261616173
BaseRepresentation
bin1000010000110110…
…1100011001010100
312201120220022222100
42010031230121110
514020323312403
61004035202100
7105653144403
oct20415543124
95646808870
102218182228
11a39119159
1251aa46330
13294729582
1417085163a
15ceb0e2a3
hex8436c654

2218182228 has 18 divisors (see below), whose sum is σ = 5607071834. Its totient is φ = 739394064.

The previous prime is 2218182181. The next prime is 2218182251. The reversal of 2218182228 is 8222818122.

It can be written as a sum of positive squares in only one way, i.e., 1795386384 + 422795844 = 42372^2 + 20562^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61616173 = 2218182228 / (2 + 2 + 1 + 8 + 1 + 8 + 2 + 2 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 2218182192 and 2218182201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30808051 + ... + 30808122.

Almost surely, 22218182228 is an apocalyptic number.

It is an amenable number.

2218182228 is an abundant number, since it is smaller than the sum of its proper divisors (3388889606).

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

2218182228 is a wasteful number, since it uses less digits than its factorization.

2218182228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61616183 (or 61616178 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 2218182228 is about 47097.5819761482. The cubic root of 2218182228 is about 1304.1645985471.

The spelling of 2218182228 in words is "two billion, two hundred eighteen million, one hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61616173 123232346 184848519 246464692 369697038 554545557 739394076 1109091114 2218182228