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2248080016 = 247213220573
BaseRepresentation
bin1000010111111110…
…1111101010010000
312210200011022000211
42011333233222100
514101002030031
61011024053504
7106465236100
oct20577575220
95720138024
102248080016
11a53a89876
12528a64294
1329a996b80
141747d5200
15d2567bb1
hex85fefa90

2248080016 has 60 divisors (see below), whose sum is σ = 5456559612. Its totient is φ = 889346304.

The previous prime is 2248080013. The next prime is 2248080047. The reversal of 2248080016 is 6100808422.

It can be written as a sum of positive squares in 2 ways, for example, as 190550416 + 2057529600 = 13804^2 + 45360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2248080016.

It is not an unprimeable number, because it can be changed into a prime (2248080013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100095 + ... + 120478.

Almost surely, 22248080016 is an apocalyptic number.

2248080016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2248080016 is an abundant number, since it is smaller than the sum of its proper divisors (3208479596).

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

2248080016 is a wasteful number, since it uses less digits than its factorization.

2248080016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220608 (or 220595 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2248080016 is about 47413.9221748212. The cubic root of 2248080016 is about 1309.9978664767.

Adding to 2248080016 its reverse (6100808422), we get a palindrome (8348888438).

The spelling of 2248080016 in words is "two billion, two hundred forty-eight million, eighty thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 220573 441146 882292 1544011 1764584 2867449 3088022 3529168 5734898 6176044 10808077 11469796 12352088 20072143 21616154 22939592 24704176 40144286 43232308 45879184 80288572 86464616 140505001 160577144 172929232 281010002 321154288 562020004 1124040008 2248080016