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2252043450 = 2325237313417
BaseRepresentation
bin1000011000111011…
…0111010010111010
312210221121122211200
42012032313102322
514103010342300
61011245035030
7106544024226
oct20616672272
95727548750
102252043450
11a56246638
1252a255a76
1329b753bb7
14175147786
15d2a9c200
hex863b74ba

2252043450 has 72 divisors (see below), whose sum is σ = 6067163388. Its totient is φ = 598890240.

The previous prime is 2252043439. The next prime is 2252043461. The reversal of 2252043450 is 543402522.

It is a happy number.

2252043450 is a `hidden beast` number, since 2 + 2 + 5 + 204 + 3 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (2252043439) and next prime (2252043461).

It can be written as a sum of positive squares in 6 ways, for example, as 722373129 + 1529670321 = 26877^2 + 39111^2 .

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 35 ways as a sum of consecutive naturals, for example, 161142 + ... + 174558.

Almost surely, 22252043450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252043450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033581694).

2252043450 is an abundant number, since it is smaller than the sum of its proper divisors (3815119938).

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

2252043450 is a wasteful number, since it uses less digits than its factorization.

2252043450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13800 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2252043450 is about 47455.6998684036. The cubic root of 2252043450 is about 1310.7672699619.

Adding to 2252043450 its reverse (543402522), we get a palindrome (2795445972).

The spelling of 2252043450 in words is "two billion, two hundred fifty-two million, forty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 373 450 746 1119 1865 2238 3357 3730 5595 6714 9325 11190 13417 16785 18650 26834 27975 33570 40251 55950 67085 80502 83925 120753 134170 167850 201255 241506 335425 402510 603765 670850 1006275 1207530 2012550 3018825 5004541 6037650 10009082 15013623 25022705 30027246 45040869 50045410 75068115 90081738 125113525 150136230 225204345 250227050 375340575 450408690 750681150 1126021725 2252043450