Search a number
-
+
2254849872 = 243116170009
BaseRepresentation
bin1000011001100110…
…0100011101010000
312211010220020112020
42012121210131100
514104220143442
61011425131440
7106606623222
oct20631443520
95733806466
102254849872
11a578930a0
1252b189b80
1329c1c73c2
14175678412
15d2e539ec
hex86664750

2254849872 has 80 divisors (see below), whose sum is σ = 6458842560. Its totient is φ = 672076800.

The previous prime is 2254849829. The next prime is 2254849903. The reversal of 2254849872 is 2789484522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797 + ... + 67212.

It is an arithmetic number, because the mean of its divisors is an integer number (80735532).

Almost surely, 22254849872 is an apocalyptic number.

2254849872 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 2254849872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229421280).

2254849872 is an abundant number, since it is smaller than the sum of its proper divisors (4203992688).

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

2254849872 is a wasteful number, since it uses less digits than its factorization.

2254849872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70092 (or 70086 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2254849872 is about 47485.2595233510. The cubic root of 2254849872 is about 1311.3115222090.

The spelling of 2254849872 in words is "two billion, two hundred fifty-four million, eight hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 5368 8052 10736 16104 32208 70009 140018 210027 280036 420054 560072 770099 840108 1120144 1540198 1680216 2310297 3080396 3360432 4270549 4620594 6160792 8541098 9241188 12321584 12811647 17082196 18482376 25623294 34164392 36964752 46976039 51246588 68328784 93952078 102493176 140928117 187904156 204986352 281856234 375808312 563712468 751616624 1127424936 2254849872