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22523122120 = 2351921559773
BaseRepresentation
bin10100111110011110…
…111001000111001000
32011010200020011010011
4110332132321013020
5332111404401440
614202540401304
71425100244032
oct247636710710
964120204104
1022523122120
119608796014
124446b46234
13217c3415c5
141139434c52
158bc5129ea
hex53e7b91c8

22523122120 has 48 divisors (see below), whose sum is σ = 53484650460. Its totient is φ = 8535072384.

The previous prime is 22523122079. The next prime is 22523122121. The reversal of 22523122120 is 2122132522.

It can be written as a sum of positive squares in 2 ways, for example, as 21637821604 + 885300516 = 147098^2 + 29754^2 .

It is a super-3 number, since 3×225231221203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22523122091 and 22523122100.

It is not an unprimeable number, because it can be changed into a prime (22523122121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 765447 + ... + 794326.

Almost surely, 222523122120 is an apocalyptic number.

22523122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22523122120 is an abundant number, since it is smaller than the sum of its proper divisors (30961528340).

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

22523122120 is a wasteful number, since it uses less digits than its factorization.

22523122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559822 (or 1559799 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 22523122120 its reverse (2122132522), we get a palindrome (24645254642).

The spelling of 22523122120 in words is "twenty-two billion, five hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 1559773 3119546 6239092 7798865 12478184 15597730 29635687 31195460 59271374 62390920 118542748 148178435 237085496 296356870 563078053 592713740 1126156106 1185427480 2252312212 2815390265 4504624424 5630780530 11261561060 22523122120