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229600 = 2552741
BaseRepresentation
bin111000000011100000
3102122221201
4320003200
524321400
64530544
71644250
oct700340
9378851
10229600
11147558
12b0a54
1380677
145d960
154806a
hex380e0

229600 has 72 divisors (see below), whose sum is σ = 656208. Its totient is φ = 76800.

The previous prime is 229591. The next prime is 229601. The reversal of 229600 is 6922.

229600 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229601) by changing a digit.

229600 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, 5580 + ... + 5620.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2229600 is an apocalyptic number.

229600 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 229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

229600 is an abundant number, since it is smaller than the sum of its proper divisors (426608).

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

229600 is a wasteful number, since it uses less digits than its factorization.

229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 229600 is about 479.1659420284. The cubic root of 229600 is about 61.2337177323.

The spelling of 229600 in words is "two hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 70 80 82 100 112 140 160 164 175 200 205 224 280 287 328 350 400 410 560 574 656 700 800 820 1025 1120 1148 1312 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5600 5740 6560 7175 8200 9184 11480 14350 16400 22960 28700 32800 45920 57400 114800 229600