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228971064 = 23376122343
BaseRepresentation
bin11011010010111…
…01001000111000
3120221211221020210
431221131020320
5432104033224
634415351120
75450136060
oct1551351070
9527757223
10228971064
11108280393
12648224a0
133858bb4a
14225a43a0
151517d429
hexda5d238

228971064 has 64 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 64344960.

The previous prime is 228971063. The next prime is 228971069. The reversal of 228971064 is 460179822.

228971064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228971063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (10389960).

Almost surely, 2228971064 is an apocalyptic number.

228971064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228971064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

228971064 is an abundant number, since it is smaller than the sum of its proper divisors (435986376).

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

228971064 is a wasteful number, since it uses less digits than its factorization.

228971064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420 (or 22416 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 228971064 is about 15131.7898478666. The cubic root of 228971064 is about 611.7775474143. Note that the first 3 decimals are identical.

The spelling of 228971064 in words is "two hundred twenty-eight million, nine hundred seventy-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 22343 44686 67029 89372 134058 156401 178744 268116 312802 469203 536232 625604 938406 1251208 1362923 1876812 2725846 3753624 4088769 5451692 8177538 9540461 10903384 16355076 19080922 28621383 32710152 38161844 57242766 76323688 114485532 228971064