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228492 = 223211577
BaseRepresentation
bin110111110010001100
3102121102200
4313302030
524302432
64521500
71641105
oct676214
9377380
10228492
11146740
12b0290
1380004
145d3ac
1547a7c
hex37c8c

228492 has 36 divisors (see below), whose sum is σ = 631176. Its totient is φ = 69120.

The previous prime is 228479. The next prime is 228509. The reversal of 228492 is 294822.

228492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228492.

It is an unprimeable number.

228492 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 11 ways as a sum of consecutive naturals, for example, 108 + ... + 684.

2228492 is an apocalyptic number.

228492 is a gapful number since it is divisible by the number (22) 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 228492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315588).

228492 is an abundant number, since it is smaller than the sum of its proper divisors (402684).

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

228492 is a wasteful number, since it uses less digits than its factorization.

228492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 228492 is about 478.0083681276. The cubic root of 228492 is about 61.1350586280.

The spelling of 228492 in words is "two hundred twenty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 577 1154 1731 2308 3462 5193 6347 6924 10386 12694 19041 20772 25388 38082 57123 76164 114246 228492