Search a number
-
+
20222232210120 = 23351151146410601
BaseRepresentation
bin1001001100100010110101…
…11101111010101011001000
32122121020010010120111000210
410212101122331322223020
510122310112421210440
6111001544253401120
74155002523444003
oct446213275725310
978536103514023
1020222232210120
116497222987806
1223272547991a0
13b38c435a9115
144dca92c8853a
15251060006a80
hex12645af7aac8

20222232210120 has 64 divisors (see below), whose sum is σ = 60719404861440. Its totient is φ = 5387910080000.

The previous prime is 20222232210119. The next prime is 20222232210157. The reversal of 20222232210120 is 2101223222202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73067181 + ... + 73343420.

It is an arithmetic number, because the mean of its divisors is an integer number (948740700960).

Almost surely, 220222232210120 is an apocalyptic number.

20222232210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222232210120 is an abundant number, since it is smaller than the sum of its proper divisors (40497172651320).

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

20222232210120 is a wasteful number, since it uses less digits than its factorization.

20222232210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146411766 (or 146411762 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20222232210120 its reverse (2101223222202), we get a palindrome (22323455432322).

The spelling of 20222232210120 in words is "twenty trillion, two hundred twenty-two billion, two hundred thirty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1151 2302 3453 4604 5755 6906 9208 11510 13812 17265 23020 27624 34530 46040 69060 138120 146410601 292821202 439231803 585642404 732053005 878463606 1171284808 1464106010 1756927212 2196159015 2928212020 3513854424 4392318030 5856424040 8784636060 17569272120 168518601751 337037203502 505555805253 674074407004 842593008755 1011111610506 1348148814008 1685186017510 2022223221012 2527779026265 3370372035020 4044446442024 5055558052530 6740744070040 10111116105060 20222232210120