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2278224 = 2432131217
BaseRepresentation
bin1000101100001101010000
311021202010200
420230031100
51040400344
6120455200
725236024
oct10541520
94252120
102278224
111316733
1291a500
13619c80
14434384
15300069
hex22c350

2278224 has 60 divisors (see below), whose sum is σ = 6871956. Its totient is φ = 700416.

The previous prime is 2278217. The next prime is 2278229. The reversal of 2278224 is 4228722.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 1742400 = 732^2 + 1320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278229) 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, 1264 + ... + 2480.

22278224 is an apocalyptic number.

2278224 is a gapful number since it is divisible by the number (24) 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 2278224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435978).

2278224 is an abundant number, since it is smaller than the sum of its proper divisors (4593732).

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

2278224 is a wasteful number, since it uses less digits than its factorization.

2278224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1235 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2278224 is about 1509.3786801197. The cubic root of 2278224 is about 131.5827042183.

The spelling of 2278224 in words is "two million, two hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1217 1872 2434 3651 4868 7302 9736 10953 14604 15821 19472 21906 29208 31642 43812 47463 58416 63284 87624 94926 126568 142389 175248 189852 253136 284778 379704 569556 759408 1139112 2278224