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284022 = 23231509
BaseRepresentation
bin1000101010101110110
3112102121100
41011111312
533042042
610030530
72262024
oct1052566
9472540
10284022
11184432
12118446
139c37b
1475714
155924c
hex45576

284022 has 24 divisors (see below), whose sum is σ = 636480. Its totient is φ = 91440.

The previous prime is 284003. The next prime is 284023. The reversal of 284022 is 220482.

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

It is a junction number, because it is equal to n+sod(n) for n = 283986 and 284004.

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 284022.

It is not an unprimeable number, because it can be changed into a prime (284023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2284022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240).

284022 is an abundant number, since it is smaller than the sum of its proper divisors (352458).

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

284022 is a wasteful number, since it uses less digits than its factorization.

284022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 284022 is about 532.9371445114. The cubic root of 284022 is about 65.7330817599.

The spelling of 284022 in words is "two hundred eighty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 509 558 1018 1527 3054 4581 9162 15779 31558 47337 94674 142011 284022