Search a number
-
+
2227288 = 237311283
BaseRepresentation
bin1000011111110001011000
311012011021011
420133301120
51032233123
6115423304
724634360
oct10376130
94164234
102227288
111291438
128b4b34
135cca2b
1441d9a0
152dee0d
hex21fc58

2227288 has 32 divisors (see below), whose sum is σ = 4930560. Its totient is φ = 923040.

The previous prime is 2227273. The next prime is 2227301. The reversal of 2227288 is 8827222.

It is a happy number.

2227288 is nontrivially palindromic in base 3.

2227288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (154080).

22227288 is an apocalyptic number.

2227288 is a gapful number since it is divisible by the number (28) 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 2227288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465280).

2227288 is an abundant number, since it is smaller than the sum of its proper divisors (2703272).

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

2227288 is a wasteful number, since it uses less digits than its factorization.

2227288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 2227288 is about 1492.4101312977. The cubic root of 2227288 is about 130.5946720339.

The spelling of 2227288 in words is "two million, two hundred twenty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1283 1736 2566 5132 8981 10264 17962 35924 39773 71848 79546 159092 278411 318184 556822 1113644 2227288