Search a number
-
+
228285260 = 225713911731
BaseRepresentation
bin11011001101101…
…01101101001100
3120220120002111122
431212311231030
5431420112020
634352540112
75441251460
oct1546655514
9526502448
10228285260
11107952105
1264551638
13383ab948
14224664a0
1515095125
hexd9b5b4c

228285260 has 48 divisors (see below), whose sum is σ = 551873280. Its totient is φ = 77699520.

The previous prime is 228285259. The next prime is 228285283. The reversal of 228285260 is 62582822.

It is a super-2 number, since 2×2282852602 = 104228319866535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 228285260.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13595 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (11497360).

Almost surely, 2228285260 is an apocalyptic number.

228285260 is a gapful number since it is divisible by the number (20) 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 228285260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275936640).

228285260 is an abundant number, since it is smaller than the sum of its proper divisors (323588020).

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

228285260 is a wasteful number, since it uses less digits than its factorization.

228285260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11886 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 228285260 is about 15109.1118203553. Note that the first 3 decimals coincide. The cubic root of 228285260 is about 611.1661469136.

The spelling of 228285260 in words is "two hundred twenty-eight million, two hundred eighty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 11731 19460 23462 46924 58655 82117 117310 164234 234620 328468 410585 821170 1630609 1642340 3261218 6522436 8153045 11414263 16306090 22828526 32612180 45657052 57071315 114142630 228285260