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229360 = 2454761
BaseRepresentation
bin110111111111110000
3102122121211
4313333300
524314420
64525504
71643455
oct677760
9378554
10229360
1114735a
12b0894
1380521
145d82c
1547e5a
hex37ff0

229360 has 40 divisors (see below), whose sum is σ = 553536. Its totient is φ = 88320.

The previous prime is 229351. The next prime is 229373. The reversal of 229360 is 63922.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

229360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3730 + ... + 3790.

2229360 is an apocalyptic number.

229360 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 229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768).

229360 is an abundant number, since it is smaller than the sum of its proper divisors (324176).

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

229360 is a wasteful number, since it uses less digits than its factorization.

229360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 229360 is about 478.9154413881. The cubic root of 229360 is about 61.2123745037.

The spelling of 229360 in words is "two hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 61 80 94 122 188 235 244 305 376 470 488 610 752 940 976 1220 1880 2440 2867 3760 4880 5734 11468 14335 22936 28670 45872 57340 114680 229360