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220131 = 3331263
BaseRepresentation
bin110101101111100011
3102011222000
4311233203
524021011
64415043
71604532
oct655743
9364860
10220131
1114042a
12a7483
1379272
145a319
1545356
hex35be3

220131 has 16 divisors (see below), whose sum is σ = 337920. Its totient is φ = 141480.

The previous prime is 220123. The next prime is 220141. The reversal of 220131 is 131022.

It is a happy number.

220131 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220131 - 23 = 220123 is a prime.

It is a super-2 number, since 2×2201312 = 96915314322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

220131 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (220141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (21120).

2220131 is an apocalyptic number.

220131 is a deficient number, since it is larger than the sum of its proper divisors (117789).

220131 is a wasteful number, since it uses less digits than its factorization.

220131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 220131 is about 469.1812016695. The cubic root of 220131 is about 60.3800871451.

Adding to 220131 its reverse (131022), we get a palindrome (351153).

It can be divided in two parts, 220 and 131, that added together give a triangular number (351 = T26).

The spelling of 220131 in words is "two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 93 263 279 789 837 2367 7101 8153 24459 73377 220131