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229489540 = 22572376329
BaseRepresentation
bin11011010110110…
…11101110000100
3120222211021110121
431223123232010
5432222131130
634434431324
75454425500
oct1553335604
9528737417
10229489540
111085a4985
1264a32544
1338710b37
142269b300
1515231d7a
hexdadbb84

229489540 has 72 divisors (see below), whose sum is σ = 575852760. Its totient is φ = 76543488.

The previous prime is 229489531. The next prime is 229489541. The reversal of 229489540 is 45984922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92505924 + 136983616 = 9618^2 + 11704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229489541) 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, 33096 + ... + 39424.

It is an arithmetic number, because the mean of its divisors is an integer number (7997955).

Almost surely, 2229489540 is an apocalyptic number.

229489540 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 229489540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287926380).

229489540 is an abundant number, since it is smaller than the sum of its proper divisors (346363220).

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

229489540 is a wasteful number, since it uses less digits than its factorization.

229489540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 229489540 is about 15148.9121721660. The cubic root of 229489540 is about 612.2389635968.

The spelling of 229489540 in words is "two hundred twenty-nine million, four hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 6329 7252 9065 12658 18130 25316 31645 36260 44303 63290 88606 126580 177212 221515 234173 310121 443030 468346 620242 886060 936692 1170865 1240484 1550605 1639211 2341730 3101210 3278422 4683460 6202420 6556844 8196055 11474477 16392110 22948954 32784220 45897908 57372385 114744770 229489540