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2250362048 = 261119916063
BaseRepresentation
bin1000011000100001…
…1100110011000000
312210211110020101112
42012020130303000
514102043041143
61011145022452
7106523522204
oct20610346300
95724406345
102250362048
11a552a8350
12529784a28
1329b2b579c
14174c2ab04
15d2868e18
hex8621ccc0

2250362048 has 56 divisors (see below), whose sum is σ = 4896307200. Its totient is φ = 1017688320.

The previous prime is 2250362027. The next prime is 2250362141. The reversal of 2250362048 is 8402630522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132065 + ... + 148127.

Almost surely, 22250362048 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 2250362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448153600).

2250362048 is an abundant number, since it is smaller than the sum of its proper divisors (2645945152).

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

2250362048 is a wasteful number, since it uses less digits than its factorization.

2250362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16285 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2250362048 is about 47437.9810700245. The cubic root of 2250362048 is about 1310.4409773483.

The spelling of 2250362048 in words is "two billion, two hundred fifty million, three hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 199 352 398 704 796 1592 2189 3184 4378 6368 8756 12736 16063 17512 32126 35024 64252 70048 128504 140096 176693 257008 353386 514016 706772 1028032 1413544 2827088 3196537 5654176 6393074 11308352 12786148 25572296 35161907 51144592 70323814 102289184 140647628 204578368 281295256 562590512 1125181024 2250362048