Search a number
-
+
27717228 = 22347112101
BaseRepresentation
bin110100110111…
…0111001101100
31221011011220000
41221232321230
524043422403
62430024300
7454410150
oct151567154
957134800
1027717228
1114711400
129348090
135985c36
143977060
1526777a3
hex1a6ee6c

27717228 has 180 divisors, whose sum is σ = 91923216. Its totient is φ = 7128000.

The previous prime is 27717227. The next prime is 27717233. The reversal of 27717228 is 82271772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27717192 and 27717201.

It is not an unprimeable number, because it can be changed into a prime (27717223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274378 + ... + 274478.

Almost surely, 227717228 is an apocalyptic number.

27717228 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 27717228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961608).

27717228 is an abundant number, since it is smaller than the sum of its proper divisors (64205988).

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

27717228 is a wasteful number, since it uses less digits than its factorization.

27717228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 27717228 is about 5264.7153769221. The cubic root of 27717228 is about 302.6332195590.

It can be divided in two parts, 2771 and 7228, that added together give a palindrome (9999).

The spelling of 27717228 in words is "twenty-seven million, seven hundred seventeen thousand, two hundred twenty-eight".