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2144221248 = 263136114083
BaseRepresentation
bin111111111001110…
…0011100001000000
312112102201201120210
41333303203201000
513342410034443
6552434034120
7104064402621
oct17763434100
95472651523
102144221248
11a003a2184
124ba118940
13282301b90
14164abba48
15c839ec33
hex7fce3840

2144221248 has 112 divisors (see below), whose sum is σ = 6210255296. Its totient is φ = 648898560.

The previous prime is 2144221241. The next prime is 2144221249. The reversal of 2144221248 is 8421224412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2144221241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145215 + ... + 159297.

It is an arithmetic number, because the mean of its divisors is an integer number (55448708).

Almost surely, 22144221248 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 2144221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105127648).

2144221248 is an abundant number, since it is smaller than the sum of its proper divisors (4066034048).

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

2144221248 is a wasteful number, since it uses less digits than its factorization.

2144221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14172 (or 14162 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 2144221248 is about 46305.7366640463. The cubic root of 2144221248 is about 1289.5054988251.

The spelling of 2144221248 in words is "two billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 624 732 793 832 976 1248 1464 1586 1952 2379 2496 2928 3172 3904 4758 5856 6344 9516 11712 12688 14083 19032 25376 28166 38064 42249 50752 56332 76128 84498 112664 152256 168996 183079 225328 337992 366158 450656 549237 675984 732316 859063 901312 1098474 1351968 1464632 1718126 2196948 2577189 2703936 2929264 3436252 4393896 5154378 5858528 6872504 8787792 10308756 11167819 11717056 13745008 17575584 20617512 22335638 27490016 33503457 35151168 41235024 44671276 54980032 67006914 82470048 89342552 134013828 164940096 178685104 268027656 357370208 536055312 714740416 1072110624 2144221248