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229350800 = 24527101811
BaseRepresentation
bin11011010101110…
…01110110010000
3120222120020011002
431222321312100
5432203211200
634431441132
75453310140
oct1552716620
9528506132
10229350800
1110850a718
12649861a8
1338692943
1422662920
1515205bd5
hexdab9d90

229350800 has 120 divisors (see below), whose sum is σ = 636750912. Its totient is φ = 77760000.

The previous prime is 229350799. The next prime is 229350809. The reversal of 229350800 is 8053922.

It is not an unprimeable number, because it can be changed into a prime (229350809) 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, 282395 + ... + 283205.

Almost surely, 2229350800 is an apocalyptic number.

229350800 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 229350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318375456).

229350800 is an abundant number, since it is smaller than the sum of its proper divisors (407400112).

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

229350800 is a wasteful number, since it uses less digits than its factorization.

229350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 229350800 is about 15144.3322731641. The cubic root of 229350800 is about 612.1155605039.

The spelling of 229350800 in words is "two hundred twenty-nine million, three hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 101 112 140 175 200 202 280 350 400 404 505 560 700 707 808 811 1010 1400 1414 1616 1622 2020 2525 2800 2828 3244 3535 4040 4055 5050 5656 5677 6488 7070 8080 8110 10100 11312 11354 12976 14140 16220 17675 20200 20275 22708 28280 28385 32440 35350 40400 40550 45416 56560 56770 64880 70700 81100 81911 90832 113540 141400 141925 162200 163822 227080 282800 283850 324400 327644 409555 454160 567700 573377 655288 819110 1135400 1146754 1310576 1638220 2047775 2270800 2293508 2866885 3276440 4095550 4587016 5733770 6552880 8191100 9174032 11467540 14334425 16382200 22935080 28668850 32764400 45870160 57337700 114675400 229350800