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228904965 = 325972292
BaseRepresentation
bin11011010010011…
…01000000000101
3120221201120120200
431221031000011
5432044424330
634414121113
75446442262
oct1551150005
9527646520
10228904965
11108235763
12647b0199
1338567a33
1422588269
1515168a60
hexda4d005

228904965 has 36 divisors (see below), whose sum is σ = 402617124. Its totient is φ = 120296448.

The previous prime is 228904957. The next prime is 228904979. The reversal of 228904965 is 569409822.

It can be written as a sum of positive squares in 6 ways, for example, as 38713284 + 190191681 = 6222^2 + 13791^2 .

It is not a de Polignac number, because 228904965 - 23 = 228904957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228904965.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 999471 + ... + 999699.

It is an arithmetic number, because the mean of its divisors is an integer number (11183809).

Almost surely, 2228904965 is an apocalyptic number.

It is an amenable number.

228904965 is a deficient number, since it is larger than the sum of its proper divisors (173712159).

228904965 is an equidigital number, since it uses as much as digits as its factorization.

228904965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 228904965 is about 15129.6055797896. The cubic root of 228904965 is about 611.7186727612.

The spelling of 228904965 in words is "two hundred twenty-eight million, nine hundred four thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 97 229 291 485 687 873 1145 1455 2061 3435 4365 10305 22213 52441 66639 111065 157323 199917 262205 333195 471969 786615 999585 2359845 5086777 15260331 25433885 45780993 76301655 228904965