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22120303332020 = 22544915641157489
BaseRepresentation
bin1010000011110010010001…
…10100101000101010110100
32220022200100222020211102112
411001321020310220222310
510344404340123111040
6115013532125030152
74442065511000165
oct501711064505264
986280328224375
1022120303332020
117059193612863
1225930909b5358
13c45c21828a6a
145668b245376c
152855ee785365
hex141e48d28ab4

22120303332020 has 48 divisors (see below), whose sum is σ = 46559367162000. Its totient is φ = 8827794554880.

The previous prime is 22120303332019. The next prime is 22120303332103. The reversal of 22120303332020 is 2023330302122.

It can be written as a sum of positive squares in 8 ways, for example, as 1983849714064 + 20136453617956 = 1408492^2 + 4487366^2 .

It is a super-2 number, since 2×221203033320202 (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140377436 + ... + 140534924.

It is an arithmetic number, because the mean of its divisors is an integer number (969986815875).

Almost surely, 222120303332020 is an apocalyptic number.

22120303332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120303332020 is an abundant number, since it is smaller than the sum of its proper divisors (24439063829980).

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

22120303332020 is a wasteful number, since it uses less digits than its factorization.

22120303332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173588 (or 173586 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 22120303332020 its reverse (2023330302122), we get a palindrome (24143633634142).

The spelling of 22120303332020 in words is "twenty-two trillion, one hundred twenty billion, three hundred three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 449 898 1796 2245 4490 8980 15641 31282 62564 78205 156410 157489 312820 314978 629956 787445 1574890 3149780 7022809 14045618 28091236 35114045 70228090 70712561 140456180 141425122 282850244 353562805 707125610 1414251220 2463285449 4926570898 9853141796 12316427245 24632854490 49265708980 1106015166601 2212030333202 4424060666404 5530075833005 11060151666010 22120303332020