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230213313220 = 225112184147911
BaseRepresentation
bin1101011001100111001…
…0000110001011000100
3211000012221222000121011
43112121302012023010
512232434102010340
6253431502132004
722426620606202
oct3263162061304
9730187860534
10230213313220
11896a6460650
1238749b81004
131892a9501c7
14b1dc9b6072
155ec5b870ea
hex3599c862c4

230213313220 has 48 divisors (see below), whose sum is σ = 527432927616. Its totient is φ = 83708352000.

The previous prime is 230213313203. The next prime is 230213313223. The reversal of 230213313220 is 22313312032.

230213313220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230213313191 and 230213313200.

It is not an unprimeable number, because it can be changed into a prime (230213313223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4781065 + ... + 4828975.

It is an arithmetic number, because the mean of its divisors is an integer number (10988185992).

Almost surely, 2230213313220 is an apocalyptic number.

230213313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230213313220 is an abundant number, since it is smaller than the sum of its proper divisors (297219614396).

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

230213313220 is a wasteful number, since it uses less digits than its factorization.

230213313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69772 (or 69770 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 230213313220 its reverse (22313312032), we get a palindrome (252526625252).

The spelling of 230213313220 in words is "two hundred thirty billion, two hundred thirteen million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 21841 43682 47911 87364 95822 109205 191644 218410 239555 240251 436820 479110 480502 527021 958220 961004 1054042 1201255 2108084 2402510 2635105 4805020 5270210 10540420 1046424151 2092848302 4185696604 5232120755 10464241510 11510665661 20928483020 23021331322 46042662644 57553328305 115106656610 230213313220