Search a number
-
+
228826386 = 232195991117
BaseRepresentation
bin11011010001110…
…01110100010010
3120221120120210100
431220321310102
5432034421021
634412313230
75445664215
oct1550716422
9527516710
10228826386
11108191718
1264772816
133853b039
142256777c
1515150626
hexda39d12

228826386 has 48 divisors (see below), whose sum is σ = 523224000. Its totient is φ = 72075744.

The previous prime is 228826369. The next prime is 228826393. The reversal of 228826386 is 683628822.

228826386 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 638 + 6 = 666.

228826386 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204300 + ... + 205416.

It is an arithmetic number, because the mean of its divisors is an integer number (10900500).

Almost surely, 2228826386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228826386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261612000).

228826386 is an abundant number, since it is smaller than the sum of its proper divisors (294397614).

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

228826386 is a wasteful number, since it uses less digits than its factorization.

228826386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1740 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 228826386 is about 15127.0084947421. The cubic root of 228826386 is about 611.6486673728.

The spelling of 228826386 in words is "two hundred twenty-eight million, eight hundred twenty-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 599 1117 1198 1797 2234 3351 3594 5391 6702 10053 10782 11381 20106 21223 22762 34143 42446 63669 68286 102429 127338 191007 204858 382014 669083 1338166 2007249 4014498 6021747 12043494 12712577 25425154 38137731 76275462 114413193 228826386