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228014064 = 24321725479
BaseRepresentation
bin11011001011100…
…11011111110000
3120220001022111100
431211303133300
5431332422224
634343044400
75436042015
oct1545633760
9526038440
10228014064
11107787383
1264440700
1338315385
14223d570c
151503eac9
hexd9737f0

228014064 has 90 divisors (see below), whose sum is σ = 677991080. Its totient is φ = 71520768.

The previous prime is 228014063. The next prime is 228014089. The reversal of 228014064 is 460410822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228014063) 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 17 ways as a sum of consecutive naturals, for example, 38877 + ... + 44355.

Almost surely, 2228014064 is an apocalyptic number.

228014064 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 228014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338995540).

228014064 is an abundant number, since it is smaller than the sum of its proper divisors (449977016).

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

228014064 is a wasteful number, since it uses less digits than its factorization.

228014064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228014064 is about 15100.1345689368. The cubic root of 228014064 is about 610.9240353680.

Adding to 228014064 its reverse (460410822), we get a palindrome (688424886).

The spelling of 228014064 in words is "two hundred twenty-eight million, fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 5479 6936 10404 10958 13872 16437 20808 21916 32874 41616 43832 49311 65748 87664 93143 98622 131496 186286 197244 262992 279429 372572 394488 558858 745144 788976 838287 1117716 1490288 1583431 1676574 2235432 3166862 3353148 4470864 4750293 6333724 6706296 9500586 12667448 13412592 14250879 19001172 25334896 28501758 38002344 57003516 76004688 114007032 228014064