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2278016 = 2713372
BaseRepresentation
bin1000101100001010000000
311021201211222
420230022000
51040344031
6120454212
725235306
oct10541200
94251758
102278016
111316564
1291a368
13619b50
14434276
152eee7b
hex22c280

2278016 has 48 divisors (see below), whose sum is σ = 5022990. Its totient is φ = 1022976.

The previous prime is 2278007. The next prime is 2278019. The reversal of 2278016 is 6108722.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 40000 = 1496^2 + 200^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 221 + 75 + 85 + 0 + 1 + 63 .

It is not an unprimeable number, because it can be changed into a prime (2278019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61550 + ... + 61586.

22278016 is an apocalyptic number.

2278016 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 2278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511495).

2278016 is an abundant number, since it is smaller than the sum of its proper divisors (2744974).

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

2278016 is an equidigital number, since it uses as much as digits as its factorization.

2278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2278016 is about 1509.3097760235. The cubic root of 2278016 is about 131.5786996318.

Multiplying 2278016 by its sum of digits (26), we get a square (59228416 = 76962).

2278016 divided by its sum of digits (26) gives a square (87616 = 2962).

The spelling of 2278016 in words is "two million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1369 1664 1924 2368 2738 3848 4736 5476 7696 10952 15392 17797 21904 30784 35594 43808 61568 71188 87616 142376 175232 284752 569504 1139008 2278016