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228466314 = 232232392309
BaseRepresentation
bin11011001111000…
…01111010001010
3120220220021212100
431213201322022
5431441410224
634400454230
75442634356
oct1547417212
9526807770
10228466314
11107a6613a
126461a376
133844318b
14224b2466
15150cdac9
hexd9e1e8a

228466314 has 48 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 72508128.

The previous prime is 228466307. The next prime is 228466333. The reversal of 228466314 is 413664822.

228466314 is a `hidden beast` number, since 2 + 284 + 66 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97792 + ... + 100100.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2228466314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228466314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

228466314 is an abundant number, since it is smaller than the sum of its proper divisors (290452086).

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

228466314 is a wasteful number, since it uses less digits than its factorization.

228466314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2576 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228466314 is about 15115.1021829163. The cubic root of 228466314 is about 611.3276770317.

The spelling of 228466314 in words is "two hundred twenty-eight million, four hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 239 414 478 717 1434 2151 2309 4302 4618 5497 6927 10994 13854 16491 20781 32982 41562 49473 53107 98946 106214 159321 318642 477963 551851 955926 1103702 1655553 3311106 4966659 9933318 12692573 25385146 38077719 76155438 114233157 228466314