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228996 = 22326361
BaseRepresentation
bin110111111010000100
3102122010100
4313322010
524311441
64524100
71642425
oct677204
9378110
10228996
11147059
12b0630
1380301
145d64c
1547cb6
hex37e84

228996 has 18 divisors (see below), whose sum is σ = 578942. Its totient is φ = 76320.

The previous prime is 228989. The next prime is 229003. The reversal of 228996 is 699822.

It is an interprime number because it is at equal distance from previous prime (228989) and next prime (229003).

It can be written as a sum of positive squares in only one way, i.e., 171396 + 57600 = 414^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6361 = 228996 / (2 + 2 + 8 + 9 + 9 + 6).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 228996.

It is an unprimeable number.

228996 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 5 ways as a sum of consecutive naturals, for example, 3145 + ... + 3216.

2228996 is an apocalyptic number.

It is an amenable number.

228996 is an abundant number, since it is smaller than the sum of its proper divisors (349946).

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

228996 is a wasteful number, since it uses less digits than its factorization.

228996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371 (or 6366 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 228996 is about 478.5352651582. The cubic root of 228996 is about 61.1799755069.

Subtracting from 228996 its product of digits (15552), we obtain a square (213444 = 4622).

The spelling of 228996 in words is "two hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 6361 12722 19083 25444 38166 57249 76332 114498 228996