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282532230 = 232523413329
BaseRepresentation
bin10000110101110…
…001100110000110
3201200122010100200
4100311301212012
51034312012410
644011351330
710000325061
oct2065614606
9650563320
10282532230
11135533712
127a752546
13466c3146
14297478d8
1519c0d3c0
hex10d71986

282532230 has 96 divisors (see below), whose sum is σ = 785453760. Its totient is φ = 70287360.

The previous prime is 282532199. The next prime is 282532277. The reversal of 282532230 is 32235282.

It is a junction number, because it is equal to n+sod(n) for n = 282532194 and 282532203.

It is a congruent number.

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 83206 + ... + 86534.

It is an arithmetic number, because the mean of its divisors is an integer number (8181810).

Almost surely, 2282532230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282532230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392726880).

282532230 is an abundant number, since it is smaller than the sum of its proper divisors (502921530).

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

282532230 is a wasteful number, since it uses less digits than its factorization.

282532230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 282532230 is about 16808.6950713016. The cubic root of 282532230 is about 656.1795113406.

The spelling of 282532230 in words is "two hundred eighty-two million, five hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 41 45 46 69 82 90 115 123 138 205 207 230 246 345 369 410 414 615 690 738 943 1035 1230 1845 1886 2070 2829 3329 3690 4715 5658 6658 8487 9430 9987 14145 16645 16974 19974 28290 29961 33290 42435 49935 59922 76567 84870 99870 136489 149805 153134 229701 272978 299610 382835 409467 459402 682445 689103 765670 818934 1148505 1228401 1364890 1378206 2047335 2297010 2456802 3139247 3445515 4094670 6142005 6278494 6891030 9417741 12284010 15696235 18835482 28253223 31392470 47088705 56506446 94177410 141266115 282532230