Search a number
-
+
228636096 = 26313139659
BaseRepresentation
bin11011010000010…
…11010111000000
3120221012220202120
431220023113000
5432012323341
634404244240
75444242353
oct1550132700
9527186676
10228636096
11108071757
12646a0680
13384a2540
142251829a
1515114066
hexda0b5c0

228636096 has 112 divisors (see below), whose sum is σ = 657148800. Its totient is φ = 69737472.

The previous prime is 228636053. The next prime is 228636097. The reversal of 228636096 is 690636822.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228636097) 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, 346615 + ... + 347273.

It is an arithmetic number, because the mean of its divisors is an integer number (5867400).

Almost surely, 2228636096 is an apocalyptic number.

228636096 is a gapful number since it is divisible by the number (26) 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 228636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328574400).

228636096 is an abundant number, since it is smaller than the sum of its proper divisors (428512704).

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

228636096 is a wasteful number, since it uses less digits than its factorization.

228636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 228636096 is about 15120.7174432961. The cubic root of 228636096 is about 611.4790731446.

The spelling of 228636096 in words is "two hundred twenty-eight million, six hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 139 156 192 208 278 312 416 417 556 624 659 832 834 1112 1248 1318 1668 1807 1977 2224 2496 2636 3336 3614 3954 4448 5272 5421 6672 7228 7908 8567 8896 10544 10842 13344 14456 15816 17134 21088 21684 25701 26688 28912 31632 34268 42176 43368 51402 57824 63264 68536 86736 91601 102804 115648 126528 137072 173472 183202 205608 274144 274803 346944 366404 411216 548288 549606 732808 822432 1099212 1190813 1465616 1644864 2198424 2381626 2931232 3572439 4396848 4763252 5862464 7144878 8793696 9526504 14289756 17587392 19053008 28579512 38106016 57159024 76212032 114318048 228636096