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258189228 = 223311713061
BaseRepresentation
bin11110110001110…
…10011110101100
3122222211101001000
433120322132230
51012044023403
641341520300
76253400163
oct1730723654
9588741030
10258189228
11122817430
1272573090
134164bcbb
142640c3da
1517a007a3
hexf63a7ac

258189228 has 96 divisors (see below), whose sum is σ = 740759040. Its totient is φ = 77112000.

The previous prime is 258189227. The next prime is 258189287. The reversal of 258189228 is 822981852.

258189228 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258189221) 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 31 ways as a sum of consecutive naturals, for example, 82818 + ... + 85878.

It is an arithmetic number, because the mean of its divisors is an integer number (7716240).

Almost surely, 2258189228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258189228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370379520).

258189228 is an abundant number, since it is smaller than the sum of its proper divisors (482569812).

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

258189228 is a wasteful number, since it uses less digits than its factorization.

258189228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 258189228 is about 16068.2677348867. The cubic root of 258189228 is about 636.7652767349.

It can be divided in two parts, 2581 and 89228, that added together give a square (91809 = 3032).

The spelling of 258189228 in words is "two hundred fifty-eight million, one hundred eighty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 198 213 284 297 396 426 594 639 781 852 1188 1278 1562 1917 2343 2556 3061 3124 3834 4686 6122 7029 7668 9183 9372 12244 14058 18366 21087 27549 28116 33671 36732 42174 55098 67342 82647 84348 101013 110196 134684 165294 202026 217331 303039 330588 404052 434662 606078 651993 869324 909117 1212156 1303986 1818234 1955979 2390641 2607972 3636468 3911958 4781282 5867937 7171923 7823916 9562564 11735874 14343846 21515769 23471748 28687692 43031538 64547307 86063076 129094614 258189228