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2250440412 = 22311312931877
BaseRepresentation
bin1000011000100010…
…1111111011011100
312210211121012212220
42012020233323130
514102103043122
61011150425340
7106524266523
oct20610577334
95724535786
102250440412
11a55351210
12529802250
1329b31235c
14174c4b4ba
15d288225c
hex8622fedc

2250440412 has 96 divisors (see below), whose sum is σ = 5936523264. Its totient is φ = 657350400.

The previous prime is 2250440369. The next prime is 2250440453. The reversal of 2250440412 is 2140440522.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1198018 + ... + 1199894.

It is an arithmetic number, because the mean of its divisors is an integer number (61838784).

Almost surely, 22250440412 is an apocalyptic number.

2250440412 is a gapful number since it is divisible by the number (22) 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 2250440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968261632).

2250440412 is an abundant number, since it is smaller than the sum of its proper divisors (3686082852).

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

2250440412 is a wasteful number, since it uses less digits than its factorization.

2250440412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2250440412 is about 47438.8070254723. The cubic root of 2250440412 is about 1310.4561882644.

Adding to 2250440412 its reverse (2140440522), we get a palindrome (4390880934).

The spelling of 2250440412 in words is "two billion, two hundred fifty million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 293 341 372 586 682 879 1023 1172 1364 1758 1877 2046 3223 3516 3754 4092 5631 6446 7508 9083 9669 11262 12892 18166 19338 20647 22524 27249 36332 38676 41294 54498 58187 61941 82588 99913 108996 116374 123882 174561 199826 232748 247764 299739 349122 399652 549961 599478 640057 698244 1099922 1198956 1280114 1649883 1920171 2199844 2560228 3299766 3840342 6049571 6599532 7680684 12099142 17048791 18148713 24198284 34097582 36297426 51146373 68195164 72594852 102292746 187536701 204585492 375073402 562610103 750146804 1125220206 2250440412