Search a number
-
+
228588864 = 2637170081
BaseRepresentation
bin11011001111111…
…11110101000000
3120221010111222020
431213333311000
5432004320424
634403241440
75443654560
oct1547776500
9527114866
10228588864
1110803a219
1264679280
1338486baa
1422504da0
1515105079
hexd9ffd40

228588864 has 56 divisors (see below), whose sum is σ = 691213248. Its totient is φ = 65310720.

The previous prime is 228588863. The next prime is 228588869. The reversal of 228588864 is 468885822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228588863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83697 + ... + 86384.

Almost surely, 2228588864 is an apocalyptic number.

228588864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228588864 is an abundant number, since it is smaller than the sum of its proper divisors (462624384).

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

228588864 is a wasteful number, since it uses less digits than its factorization.

228588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170103 (or 170093 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 51.

The square root of 228588864 is about 15119.1555319733. The cubic root of 228588864 is about 611.4369634791.

The spelling of 228588864 in words is "two hundred twenty-eight million, five hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 170081 340162 510243 680324 1020486 1190567 1360648 2040972 2381134 2721296 3571701 4081944 4762268 5442592 7143402 8163888 9524536 10885184 14286804 16327776 19049072 28573608 32655552 38098144 57147216 76196288 114294432 228588864