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59022 = 2331093
BaseRepresentation
bin1110011010001110
32222222000
432122032
53342042
61133130
7334035
oct163216
988860
1059022
1140387
122a1a6
1320b32
141771c
151274c
hexe68e

59022 has 16 divisors (see below), whose sum is σ = 131280. Its totient is φ = 19656.

The previous prime is 59021. The next prime is 59023. The reversal of 59022 is 22095.

It is an interprime number because it is at equal distance from previous prime (59021) and next prime (59023).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 58986 and 59004.

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 59022.

It is not an unprimeable number, because it can be changed into a prime (59021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (8205).

259022 is an apocalyptic number.

59022 is an abundant number, since it is smaller than the sum of its proper divisors (72258).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65640).

59022 is a wasteful number, since it uses less digits than its factorization.

59022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 59022 is about 242.9444380923. The cubic root of 59022 is about 38.9348023100.

The spelling of 59022 in words is "fifty-nine thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 1093 2186 3279 6558 9837 19674 29511 59022