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20222221211120 = 245271992967181
BaseRepresentation
bin1001001100100010110100…
…10011111101010111110000
32122121020002100212200020102
410212101122103331113300
510122310102112223440
6111001543221531532
74155002331113645
oct446213223752760
978536070780212
1020222221211120
116497217755025
122327250b73ba8
13b38c41227936
144dca91623dcc
1525105e082b15
hex12645a4fd5f0

20222221211120 has 40 divisors (see below), whose sum is σ = 47033956717440. Its totient is φ = 8085913447680.

The previous prime is 20222221211041. The next prime is 20222221211123. The reversal of 20222221211120 is 2111212222202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×202222212111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20222221211092 and 20222221211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222221211123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46266071 + ... + 46701110.

It is an arithmetic number, because the mean of its divisors is an integer number (1175848917936).

Almost surely, 220222221211120 is an apocalyptic number.

20222221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222221211120 is an abundant number, since it is smaller than the sum of its proper divisors (26811735506320).

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

20222221211120 is a wasteful number, since it uses less digits than its factorization.

20222221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92969913 (or 92969907 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20222221211120 its reverse (2111212222202), we get a palindrome (22333433433322).

The spelling of 20222221211120 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2719 5438 10876 13595 21752 27190 43504 54380 108760 217520 92967181 185934362 371868724 464835905 743737448 929671810 1487474896 1859343620 3718687240 7437374480 252777765139 505555530278 1011111060556 1263888825695 2022222121112 2527777651390 4044444242224 5055555302780 10111110605560 20222221211120