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22231033331220 = 2234572281996649
BaseRepresentation
bin1010000111000000100001…
…10110000011111000010100
32220201021011221021121110000
411003200100312003320110
510403213124013044340
6115140443513131300
74453065505315200
oct503402066037024
986637157247400
1022231033331220
1170a114583209a
1225b06340b9b30
13c534ba33984c
1456bdb857db00
152884309c8d30
hex143810d83e14

22231033331220 has 360 divisors, whose sum is σ = 81414412972200. Its totient is φ = 5063290767360.

The previous prime is 22231033331209. The next prime is 22231033331237. The reversal of 22231033331220 is 2213333013222.

22231033331220 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 10 + 333 + 312 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1599688684944 + 20631344646276 = 1264788^2 + 4542174^2 .

It is a super-2 number, since 2×222310333312202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 21807456 + ... + 22804104.

It is an arithmetic number, because the mean of its divisors is an integer number (226151147145).

Almost surely, 222231033331220 is an apocalyptic number.

22231033331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22231033331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40707206486100).

22231033331220 is an abundant number, since it is smaller than the sum of its proper divisors (59183379640980).

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

22231033331220 is a wasteful number, since it uses less digits than its factorization.

22231033331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996965 (or 996947 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22231033331220 its reverse (2213333013222), we get a palindrome (24444366344442).

The spelling of 22231033331220 in words is "twenty-two trillion, two hundred thirty-one billion, thirty-three million, three hundred thirty-one thousand, two hundred twenty".