Search a number
-
+
212001022032 = 24319311747451
BaseRepresentation
bin1100010101110000111…
…1101110000001010000
3202021012201022202210220
43011130033232001100
511433134230201112
6241220353353040
721213403645302
oct3053417560120
9667181282726
10212001022032
1181a00060728
1235106868780
1316cb7750c47
14a391cc7972
1557abd4798c
hex315c3ee050

212001022032 has 80 divisors (see below), whose sum is σ = 578348459520. Its totient is φ = 66732336000.

The previous prime is 212001022019. The next prime is 212001022087. The reversal of 212001022032 is 230220100212.

It is a happy number.

It is a super-2 number, since 2×2120010220322 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 90094 + ... + 657357.

It is an arithmetic number, because the mean of its divisors is an integer number (7229355744).

Almost surely, 2212001022032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289174229760).

212001022032 is an abundant number, since it is smaller than the sum of its proper divisors (366347437488).

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

212001022032 is a wasteful number, since it uses less digits than its factorization.

212001022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747792 (or 747786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212001022032 its reverse (230220100212), we get a palindrome (442221122244).

The spelling of 212001022032 in words is "two hundred twelve billion, one million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 311 456 622 912 933 1244 1866 2488 3732 4976 5909 7464 11818 14928 17727 23636 35454 47272 70908 94544 141816 283632 747451 1494902 2242353 2989804 4484706 5979608 8969412 11959216 14201569 17938824 28403138 35877648 42604707 56806276 85209414 113612552 170418828 227225104 232457261 340837656 464914522 681675312 697371783 929829044 1394743566 1859658088 2789487132 3719316176 4416687959 5578974264 8833375918 11157948528 13250063877 17666751836 26500127754 35333503672 53000255508 70667007344 106000511016 212001022032