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220158 = 236151
BaseRepresentation
bin110101101111111110
3102012000000
4311233332
524021113
64415130
71604601
oct655776
9365000
10220158
11140454
12a74a6
1379293
145a338
1545373
hex35bfe

220158 has 28 divisors (see below), whose sum is σ = 498408. Its totient is φ = 72900.

The previous prime is 220151. The next prime is 220163. The reversal of 220158 is 851022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 220158.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220158.

It is not an unprimeable number, because it can be changed into a prime (220151) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1383 + ... + 1533.

2220158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249204).

220158 is an abundant number, since it is smaller than the sum of its proper divisors (278250).

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

220158 is an equidigital number, since it uses as much as digits as its factorization.

220158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 220158 is about 469.2099743185. The cubic root of 220158 is about 60.3825556687.

It can be divided in two parts, 220 and 158, that added together give a triangular number (378 = T27).

The spelling of 220158 in words is "two hundred twenty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 243 302 453 486 729 906 1359 1458 2718 4077 8154 12231 24462 36693 73386 110079 220158