Search a number
-
+
228814578 = 2331071992
BaseRepresentation
bin11011010001101…
…10111011110010
3120221112222121000
431220312323302
5432034031303
634412142430
75445614616
oct1550667362
9527488530
10228814578
11108183863
1264767a16
1338535855
1422563346
151514bda3
hexda36ef2

228814578 has 48 divisors (see below), whose sum is σ = 515820960. Its totient is φ = 75179016.

The previous prime is 228814559. The next prime is 228814609. The reversal of 228814578 is 875418822.

It is a happy number.

It is a super-2 number, since 2×2288145782 = 104712222210636168, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1149723 + ... + 1149921.

It is an arithmetic number, because the mean of its divisors is an integer number (10746270).

Almost surely, 2228814578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228814578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257910480).

228814578 is an abundant number, since it is smaller than the sum of its proper divisors (287006382).

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

228814578 is a wasteful number, since it uses less digits than its factorization.

228814578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 311 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 228814578 is about 15126.6181944280. The cubic root of 228814578 is about 611.6381463371.

The spelling of 228814578 in words is "two hundred twenty-eight million, eight hundred fourteen thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 107 199 214 321 398 597 642 963 1194 1791 1926 2889 3582 5373 5778 10746 21293 39601 42586 63879 79202 118803 127758 191637 237606 356409 383274 574911 712818 1069227 1149822 2138454 4237307 8474614 12711921 25423842 38135763 76271526 114407289 228814578