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229705300 = 225211367569
BaseRepresentation
bin11011011000100…
…00011001010100
3121000020020102201
431230100121110
5432301032200
634443214244
75456314516
oct1554203124
9530206381
10229705300
11108731aa0
1264b17384
13387880c6
1422715bb6
1515275c6a
hexdb10654

229705300 has 72 divisors (see below), whose sum is σ = 546215040. Its totient is φ = 83155200.

The previous prime is 229705271. The next prime is 229705303. The reversal of 229705300 is 3507922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229705303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403416 + ... + 403984.

It is an arithmetic number, because the mean of its divisors is an integer number (7586320).

Almost surely, 2229705300 is an apocalyptic number.

229705300 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 229705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273107520).

229705300 is an abundant number, since it is smaller than the sum of its proper divisors (316509740).

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

229705300 is a wasteful number, since it uses less digits than its factorization.

229705300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 229705300 is about 15156.0318025531. The cubic root of 229705300 is about 612.4307737950.

The spelling of 229705300 in words is "two hundred twenty-nine million, seven hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 367 550 569 734 1100 1138 1468 1835 2276 2845 3670 4037 5690 6259 7340 8074 9175 11380 12518 14225 16148 18350 20185 25036 28450 31295 36700 40370 56900 62590 80740 100925 125180 156475 201850 208823 312950 403700 417646 625900 835292 1044115 2088230 2297053 4176460 4594106 5220575 9188212 10441150 11485265 20882300 22970530 45941060 57426325 114852650 229705300