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159220 = 22519419
BaseRepresentation
bin100110110111110100
322002102001
4212313310
520043340
63225044
71232125
oct466764
9262361
10159220
11a9696
1278184
1357619
144204c
153229a
hex26df4

159220 has 24 divisors (see below), whose sum is σ = 352800. Its totient is φ = 60192.

The previous prime is 159209. The next prime is 159223. The reversal of 159220 is 22951.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2159220 is an apocalyptic number.

159220 is a gapful number since it is divisible by the number (10) 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 159220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

159220 is an abundant number, since it is smaller than the sum of its proper divisors (193580).

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

159220 is a wasteful number, since it uses less digits than its factorization.

159220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 159220 is about 399.0238088135. The cubic root of 159220 is about 54.1999900147.

Subtracting from 159220 its sum of digits (19), we obtain a square (159201 = 3992).

It can be divided in two parts, 159 and 220, that multiplied together give a triangular number (34980 = T264).

The spelling of 159220 in words is "one hundred fifty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 419 838 1676 2095 4190 7961 8380 15922 31844 39805 79610 159220