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2250497466 = 233733117987
BaseRepresentation
bin1000011000100011…
…1101110110111010
312210211201010011000
42012020331312322
514102111404331
61011151545430
7106524625050
oct20610756672
95724633130
102250497466
11a55390068
1252982b276
1329b332309
14174c641d0
15d28940e6
hex8623ddba

2250497466 has 64 divisors (see below), whose sum is σ = 5733135360. Its totient is φ = 641021040.

The previous prime is 2250497449. The next prime is 2250497471. The reversal of 2250497466 is 6647940522.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 116125 + ... + 134111.

It is an arithmetic number, because the mean of its divisors is an integer number (89580240).

Almost surely, 22250497466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250497466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866567680).

2250497466 is an abundant number, since it is smaller than the sum of its proper divisors (3482637894).

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

2250497466 is a wasteful number, since it uses less digits than its factorization.

2250497466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18336 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2250497466 is about 47439.4083647762. The cubic root of 2250497466 is about 1310.4672625613.

The spelling of 2250497466 in words is "two billion, two hundred fifty million, four hundred ninety-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 331 378 662 993 1986 2317 2979 4634 5958 6951 8937 13902 17874 17987 20853 35974 41706 53961 62559 107922 125118 125909 161883 251818 323766 377727 485649 755454 971298 1133181 2266362 3399543 5953697 6799086 11907394 17861091 35722182 41675879 53583273 83351758 107166546 125027637 160749819 250055274 321499638 375082911 750165822 1125248733 2250497466