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230231212220 = 22541601467171
BaseRepresentation
bin1101011001101011011…
…0011000000010111100
3211000021012122101102002
43112122312120002330
512233003142242340
6253433341521432
722430226004652
oct3263266300274
9730235571362
10230231212220
1189705576409
1238753b73278
1318931579229
14b201114dd2
155ec7520715
hex359ad980bc

230231212220 has 48 divisors (see below), whose sum is σ = 496103027616. Its totient is φ = 89696640000.

The previous prime is 230231212219. The next prime is 230231212259. The reversal of 230231212220 is 22212132032.

It is a happy number.

230231212220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302312122202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230231212192 and 230231212201.

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 15 ways as a sum of consecutive naturals, for example, 259235 + ... + 726405.

It is an arithmetic number, because the mean of its divisors is an integer number (10335479742).

Almost surely, 2230231212220 is an apocalyptic number.

230231212220 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 230231212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248051513808).

230231212220 is an abundant number, since it is smaller than the sum of its proper divisors (265871815396).

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

230231212220 is a wasteful number, since it uses less digits than its factorization.

230231212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467822 (or 467820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 230231212220 its reverse (22212132032), we get a palindrome (252443344252).

The spelling of 230231212220 in words is "two hundred thirty billion, two hundred thirty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 601 820 1202 2404 3005 6010 12020 24641 49282 98564 123205 246410 467171 492820 934342 1868684 2335855 4671710 9343420 19154011 38308022 76616044 95770055 191540110 280769771 383080220 561539542 1123079084 1403848855 2807697710 5615395420 11511560611 23023121222 46046242444 57557803055 115115606110 230231212220