Search a number
-
+
212023300230 = 23257479702599
BaseRepresentation
bin1100010101110110010…
…0101101000010000110
3202021021021020121202100
43011131210231002012
511433210431101410
6241222511052530
721214064213310
oct3053544550206
9667237217670
10212023300230
1181a11697665
1235112211146
1316cbc251301
14a394c467b0
1557adc988c0
hex315d92d086

212023300230 has 96 divisors (see below), whose sum is σ = 631328256000. Its totient is φ = 48361225536.

The previous prime is 212023300201. The next prime is 212023300241. The reversal of 212023300230 is 32003320212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49530 + ... + 653069.

It is an arithmetic number, because the mean of its divisors is an integer number (6576336000).

Almost surely, 2212023300230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023300230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315664128000).

212023300230 is an abundant number, since it is smaller than the sum of its proper divisors (419304955770).

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

212023300230 is a wasteful number, since it uses less digits than its factorization.

212023300230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703098 (or 703095 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212023300230 its reverse (32003320212), we get a palindrome (244026620442).

The spelling of 212023300230 in words is "two hundred twelve billion, twenty-three million, three hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 479 630 958 1437 2395 2874 3353 4311 4790 6706 7185 8622 10059 14370 16765 20118 21555 30177 33530 43110 50295 60354 100590 150885 301770 702599 1405198 2107797 3512995 4215594 4918193 6323391 7025990 9836386 10538985 12646782 14754579 21077970 24590965 29509158 31616955 44263737 49181930 63233910 73772895 88527474 147545790 221318685 336544921 442637370 673089842 1009634763 1682724605 2019269526 2355814447 3028904289 3365449210 4711628894 5048173815 6057808578 7067443341 10096347630 11779072235 14134886682 15144521445 21202330023 23558144470 30289042890 35337216705 42404660046 70674433410 106011650115 212023300230