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2252033441252 = 2274257912409
BaseRepresentation
bin100000110001010111101…
…001110011110111100100
321222021220002020020002022
4200301113221303313210
5243344131030110002
64442323032202312
7321463326260000
oct40612751636744
97867802206068
102252033441252
1179909a1925a1
12304561539398
1313449a9a8a2a
147addb383700
153d8a95b2ba2
hex20c57a73de4

2252033441252 has 60 divisors (see below), whose sum is σ = 4615522700460. Its totient is φ = 961400659968.

The previous prime is 2252033441219. The next prime is 2252033441257. The reversal of 2252033441252 is 2521443302522.

It can be written as a sum of positive squares in 2 ways, for example, as 1307509919296 + 944523521956 = 1143464^2 + 971866^2 .

It is a super-3 number, since 3×22520334412523 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252033441257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2012024 + ... + 2924432.

It is an arithmetic number, because the mean of its divisors is an integer number (76925378341).

Almost surely, 22252033441252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252033441252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307761350230).

2252033441252 is an abundant number, since it is smaller than the sum of its proper divisors (2363489259208).

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

2252033441252 is an equidigital number, since it uses as much as digits as its factorization.

2252033441252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912698 (or 912675 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 2252033441252 its reverse (2521443302522), we get a palindrome (4773476743774).

The spelling of 2252033441252 in words is "two trillion, two hundred fifty-two billion, thirty-three million, four hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 257 343 514 686 1028 1372 1799 2401 3598 4802 7196 9604 12593 25186 50372 88151 176302 352604 617057 912409 1234114 1824818 2468228 3649636 6386863 12773726 25547452 44708041 89416082 178832164 234489113 312956287 468978226 625912574 937956452 1251825148 1641423791 2190694009 3282847582 4381388018 6565695164 8762776036 11489966537 22979933074 45959866148 80429765759 160859531518 321719063036 563008360313 1126016720626 2252033441252