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230213210320 = 2452877665129
BaseRepresentation
bin1101011001100111000…
…1101101000011010000
3211000012221202210110001
43112121301231003100
512232434040212240
6253431500015344
722426620000202
oct3263161550320
9730187683401
10230213210320
11896a63a0305
1238749b31554
131892a915412
14b1dc98a772
155ec5b6689a
hex3599c6d0d0

230213210320 has 20 divisors (see below), whose sum is σ = 535245714180. Its totient is φ = 92085284096.

The previous prime is 230213210303. The next prime is 230213210329. The reversal of 230213210320 is 23012312032.

It can be written as a sum of positive squares in 2 ways, for example, as 42492050496 + 187721159824 = 206136^2 + 433268^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230213210329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1438832485 + ... + 1438832644.

It is an arithmetic number, because the mean of its divisors is an integer number (26762285709).

Almost surely, 2230213210320 is an apocalyptic number.

230213210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230213210320 is an abundant number, since it is smaller than the sum of its proper divisors (305032503860).

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

230213210320 is a wasteful number, since it uses less digits than its factorization.

230213210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877665142 (or 2877665136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 230213210320 its reverse (23012312032), we get a palindrome (253225522352).

The spelling of 230213210320 in words is "two hundred thirty billion, two hundred thirteen million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2877665129 5755330258 11510660516 14388325645 23021321032 28776651290 46042642064 57553302580 115106605160 230213210320