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228466305 = 3353753863
BaseRepresentation
bin11011001111000…
…01111010000001
3120220220021212000
431213201322001
5431441410210
634400454213
75442634344
oct1547417201
9526807760
10228466305
11107a66131
126461a369
1338443182
14224b245b
15150cdac0
hexd9e1e81

228466305 has 64 divisors (see below), whose sum is σ = 425502720. Its totient is φ = 116183808.

The previous prime is 228466297. The next prime is 228466307. The reversal of 228466305 is 503664822.

228466305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 228466305 - 23 = 228466297 is a prime.

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 228466305.

It is not an unprimeable number, because it can be changed into a prime (228466307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264304 + ... + 265166.

It is an arithmetic number, because the mean of its divisors is an integer number (6648480).

Almost surely, 2228466305 is an apocalyptic number.

It is an amenable number.

228466305 is a deficient number, since it is larger than the sum of its proper divisors (197036415).

228466305 is a wasteful number, since it uses less digits than its factorization.

228466305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 228466305 is about 15115.1018852008. The cubic root of 228466305 is about 611.3276690044.

The spelling of 228466305 in words is "two hundred twenty-eight million, four hundred sixty-six thousand, three hundred five".

Divisors: 1 3 5 9 15 27 37 45 53 111 135 159 185 265 333 477 555 795 863 999 1431 1665 1961 2385 2589 4315 4995 5883 7155 7767 9805 12945 17649 23301 29415 31931 38835 45739 52947 88245 95793 116505 137217 159655 228695 264735 287379 411651 478965 686085 862137 1234953 1436895 1692343 2058255 4310685 5077029 6174765 8461715 15231087 25385145 45693261 76155435 228466305