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20225352010224 = 2433172269158579
BaseRepresentation
bin1001001100101000101001…
…11011000000100111110000
32122121112011120000202012210
410212110110323000213300
510122333010103311344
6111003222021452120
74155143035346064
oct446242473004760
978545146022183
1020225352010224
116498583a327a9
122327985571040
13b3931ca4759a
144dccab357aa4
15251193d61db9
hex126514ec09f0

20225352010224 has 80 divisors (see below), whose sum is σ = 52416853499520. Its totient is φ = 6720105649920.

The previous prime is 20225352010219. The next prime is 20225352010261. The reversal of 20225352010224 is 42201025352202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20225352010191 and 20225352010200.

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, 345236967 + ... + 345295545.

It is an arithmetic number, because the mean of its divisors is an integer number (655210668744).

Almost surely, 220225352010224 is an apocalyptic number.

20225352010224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20225352010224 is an abundant number, since it is smaller than the sum of its proper divisors (32191501489296).

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

20225352010224 is a wasteful number, since it uses less digits than its factorization.

20225352010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81598 (or 81592 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 20225352010224 its reverse (42201025352202), we get a palindrome (62426377362426).

The spelling of 20225352010224 in words is "twenty trillion, two hundred twenty-five billion, three hundred fifty-two million, ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 951 1268 1902 2536 3804 5072 7608 15216 22691 45382 58579 68073 90764 117158 136146 175737 181528 234316 272292 351474 363056 468632 544584 702948 937264 1089168 1405896 2811792 7193047 14386094 18569543 21579141 28772188 37139086 43158282 55708629 57544376 74278172 86316564 111417258 115088752 148556344 172633128 222834516 297112688 345266256 445669032 891338064 1329216089 2658432178 3987648267 5316864356 7975296534 10633728712 15950593068 21267457424 31901186136 63802372272 421361500213 842723000426 1264084500639 1685446000852 2528169001278 3370892001704 5056338002556 6741784003408 10112676005112 20225352010224