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110214 = 23313157
BaseRepresentation
bin11010111010000110
312121012000
4122322012
512011324
62210130
7636216
oct327206
9177160
10110214
1175895
1253946
133b220
142c246
15229c9
hex1ae86

110214 has 32 divisors (see below), whose sum is σ = 265440. Its totient is φ = 33696.

The previous prime is 110183. The next prime is 110221. The reversal of 110214 is 412011.

Adding to 110214 its reverse (412011), we get a palindrome (522225).

It can be divided in two parts, 11021 and 4, that added together give a square (11025 = 1052).

110214 = 862 + 872 + ... + 982.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 110196 and 110205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (8295).

2110214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132720).

110214 is an abundant number, since it is smaller than the sum of its proper divisors (155226).

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

110214 is a wasteful number, since it uses less digits than its factorization.

110214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110214 is about 331.9849394174. The cubic root of 110214 is about 47.9452500747.

The spelling of 110214 in words is "one hundred ten thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 314 351 471 702 942 1413 2041 2826 4082 4239 6123 8478 12246 18369 36738 55107 110214