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20223004120 = 23511239192307
BaseRepresentation
bin10010110101011000…
…101000110111011000
31221012101011001101121
4102311120220313120
5312404042112440
613142413055024
71314100461454
oct226530506730
957171131347
1020223004120
1186383a4350
123b04787474
131ba3957837
14d9bb75664
157d561b34a
hex4b5628dd8

20223004120 has 64 divisors (see below), whose sum is σ = 49846233600. Its totient is φ = 7323012480.

The previous prime is 20223004117. The next prime is 20223004147. The reversal of 20223004120 is 2140032202.

It is a junction number, because it is equal to n+sod(n) for n = 20223004094 and 20223004103.

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 15 ways as a sum of consecutive naturals, for example, 9007 + ... + 201313.

It is an arithmetic number, because the mean of its divisors is an integer number (778847400).

Almost surely, 220223004120 is an apocalyptic number.

20223004120 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 20223004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923116800).

20223004120 is an abundant number, since it is smaller than the sum of its proper divisors (29623229480).

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

20223004120 is a wasteful number, since it uses less digits than its factorization.

20223004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192568 (or 192564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20223004120 its reverse (2140032202), we get a palindrome (22363036322).

The spelling of 20223004120 in words is "twenty billion, two hundred twenty-three million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 192307 384614 769228 961535 1538456 1923070 2115377 3846140 4230754 7692280 8461508 10576885 16923016 21153770 42307540 45961373 84615080 91922746 183845492 229806865 367690984 459613730 505575103 919227460 1011150206 1838454920 2022300412 2527875515 4044600824 5055751030 10111502060 20223004120