Search a number
-
+
227970 = 232517149
BaseRepresentation
bin110111101010000010
3102120201100
4313222002
524243340
64515230
71636431
oct675202
9376640
10227970
11146306
12abb16
137c9c2
145d118
1547830
hex37a82

227970 has 48 divisors (see below), whose sum is σ = 631800. Its totient is φ = 56832.

The previous prime is 227951. The next prime is 227977. The reversal of 227970 is 79722.

227970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 168921 + 59049 = 411^2 + 243^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (227977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456 + ... + 1604.

2227970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

227970 is an abundant number, since it is smaller than the sum of its proper divisors (403830).

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

227970 is a wasteful number, since it uses less digits than its factorization.

227970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 227970 is about 477.4620403760. The cubic root of 227970 is about 61.0884678891.

It can be divided in two parts, 2 and 27970, that added together give a palindrome (27972).

The spelling of 227970 in words is "two hundred twenty-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 510 745 765 894 1341 1490 1530 2235 2533 2682 4470 5066 6705 7599 12665 13410 15198 22797 25330 37995 45594 75990 113985 227970