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230520030 = 235132331829
BaseRepresentation
bin11011011110101…
…11010011011110
3121001202122000220
431233113103132
5433003120110
634512502210
75466250026
oct1557272336
9531678026
10230520030
11109139124
126524a966
13389b1bb0
1422888a86
1515387370
hexdbd74de

230520030 has 128 divisors (see below), whose sum is σ = 642539520. Its totient is φ = 52462080.

The previous prime is 230520023. The next prime is 230520047. The reversal of 230520030 is 30025032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 230519991 and 230520009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277656 + ... + 278484.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 2230520030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230520030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321269760).

230520030 is an abundant number, since it is smaller than the sum of its proper divisors (412019490).

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

230520030 is a wasteful number, since it uses less digits than its factorization.

230520030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 230520030 is about 15182.8860892783. The cubic root of 230520030 is about 613.1539859068.

Adding to 230520030 its reverse (30025032), we get a palindrome (260545062).

The spelling of 230520030 in words is "two hundred thirty million, five hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 31 39 46 62 65 69 78 93 115 130 138 155 186 195 230 299 310 345 390 403 465 598 690 713 806 829 897 930 1209 1426 1495 1658 1794 2015 2139 2418 2487 2990 3565 4030 4145 4278 4485 4974 6045 7130 8290 8970 9269 10695 10777 12090 12435 18538 19067 21390 21554 24870 25699 27807 32331 38134 46345 51398 53885 55614 57201 64662 77097 92690 95335 107770 114402 128495 139035 154194 161655 190670 247871 256990 278070 286005 323310 334087 385485 495742 572010 591077 668174 743613 770970 1002261 1182154 1239355 1487226 1670435 1773231 2004522 2478710 2955385 3340870 3546462 3718065 5011305 5910770 7436130 7684001 8866155 10022610 15368002 17732310 23052003 38420005 46104006 76840010 115260015 230520030