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228744 = 2334353
BaseRepresentation
bin110111110110001000
3102121210000
4313312020
524304434
64523000
71641615
oct676610
9377700
10228744
1114694a
12b0460
1380169
145d50c
1547b99
hex37d88

228744 has 40 divisors (see below), whose sum is σ = 642510. Its totient is φ = 76032.

The previous prime is 228737. The next prime is 228751. The reversal of 228744 is 447822.

It is an interprime number because it is at equal distance from previous prime (228737) and next prime (228751).

It can be written as a sum of positive squares in only one way, i.e., 202500 + 26244 = 450^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

228744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 472 + ... + 824.

2228744 is an apocalyptic number.

228744 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 228744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321255).

228744 is an abundant number, since it is smaller than the sum of its proper divisors (413766).

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

228744 is a wasteful number, since it uses less digits than its factorization.

228744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 228744 is about 478.2718892011. The cubic root of 228744 is about 61.1575253147.

The spelling of 228744 in words is "two hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 353 648 706 1059 1412 2118 2824 3177 4236 6354 8472 9531 12708 19062 25416 28593 38124 57186 76248 114372 228744