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230321321220 = 223567203928099
BaseRepresentation
bin1101011010000000111…
…0000111010100000100
3211000111111012101201110
43112200032013110010
512233144224234340
6253450321125020
722432401633264
oct3264016072404
9730444171643
10230321321220
1189751421661
123877a189770
1318947138973
14b20d08d7a4
155ed03be680
hex35a0387504

230321321220 has 96 divisors (see below), whose sum is σ = 654869376000. Its totient is φ = 60470492544.

The previous prime is 230321321203. The next prime is 230321321231. The reversal of 230321321220 is 22123123032.

It is a happy number.

It is a super-2 number, since 2×2303213212202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8182731 + ... + 8210829.

It is an arithmetic number, because the mean of its divisors is an integer number (6821556000).

Almost surely, 2230321321220 is an apocalyptic number.

230321321220 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 230321321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327434688000).

230321321220 is an abundant number, since it is smaller than the sum of its proper divisors (424548054780).

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

230321321220 is a wasteful number, since it uses less digits than its factorization.

230321321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30217 (or 30215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230321321220 its reverse (22123123032), we get a palindrome (252444444252).

The spelling of 230321321220 in words is "two hundred thirty billion, three hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2039 4020 4078 6117 8156 10195 12234 20390 24468 28099 30585 40780 56198 61170 84297 112396 122340 136613 140495 168594 273226 280990 337188 409839 421485 546452 561980 683065 819678 842970 1366130 1639356 1685940 1882633 2049195 2732260 3765266 4098390 5647899 7530532 8196780 9413165 11295798 18826330 22591596 28239495 37652660 56478990 57293861 112957980 114587722 171881583 229175444 286469305 343763166 572938610 687526332 859407915 1145877220 1718815830 3437631660 3838688687 7677377374 11516066061 15354754748 19193443435 23032132122 38386886870 46064264244 57580330305 76773773740 115160660610 230321321220