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2246048896 = 277131511277
BaseRepresentation
bin1000010111011111…
…1111110010000000
312210112100002212011
42011313333302000
514044442031041
61010512342304
7106442046340
oct20567776200
95715302764
102246048896
11a52921863
12528244994
1329a435520
14174426d20
15d22b5e81
hex85dffc80

2246048896 has 128 divisors (see below), whose sum is σ = 5547951360. Its totient is φ = 881971200.

The previous prime is 2246048873. The next prime is 2246048929. The reversal of 2246048896 is 6988406422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1758210 + ... + 1759486.

It is an arithmetic number, because the mean of its divisors is an integer number (43343370).

Almost surely, 22246048896 is an apocalyptic number.

2246048896 is a gapful number since it is divisible by the number (26) 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 2246048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773975680).

2246048896 is an abundant number, since it is smaller than the sum of its proper divisors (3301902464).

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

2246048896 is a wasteful number, since it uses less digits than its factorization.

2246048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The square root of 2246048896 is about 47392.4983093316. The cubic root of 2246048896 is about 1309.6032238520.

The spelling of 2246048896 in words is "two billion, two hundred forty-six million, forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 151 182 208 224 302 364 416 448 604 728 832 896 1057 1208 1277 1456 1664 1963 2114 2416 2554 2912 3926 4228 4832 5108 5824 7852 8456 8939 9664 10216 11648 13741 15704 16601 16912 17878 19328 20432 27482 31408 33202 33824 35756 40864 54964 62816 66404 67648 71512 81728 109928 116207 125632 132808 135296 143024 163456 192827 219856 232414 251264 265616 286048 385654 439712 464828 531232 572096 771308 879424 929656 1062464 1144192 1349789 1542616 1758848 1859312 2124928 2506751 2699578 3085232 3718624 5013502 5399156 6170464 7437248 10027004 10798312 12340928 14874496 17547257 20054008 21596624 24681856 35094514 40108016 43193248 70189028 80216032 86386496 140378056 160432064 172772992 280756112 320864128 561512224 1123024448 2246048896