Search a number
-
+
442200 = 233521167
BaseRepresentation
bin1101011111101011000
3211110120210
41223331120
5103122300
613251120
73521133
oct1537530
9743523
10442200
11282260
12193aa0
13126375
14b721a
158b050
hex6bf58

442200 has 96 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 105600.

The previous prime is 442193. The next prime is 442201. The reversal of 442200 is 2244.

Adding to 442200 its reverse (2244), we get a palindrome (444444).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6567 + ... + 6633.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2442200 is an apocalyptic number.

442200 is a gapful number since it is divisible by the number (40) 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 442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

442200 is an abundant number, since it is smaller than the sum of its proper divisors (1075560).

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

442200 is a wasteful number, since it uses less digits than its factorization.

442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 442200 is about 664.9812027419. The cubic root of 442200 is about 76.1856036070.

The spelling of 442200 in words is "four hundred forty-two thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 67 75 88 100 110 120 132 134 150 165 200 201 220 264 268 275 300 330 335 402 440 536 550 600 660 670 737 804 825 1005 1100 1320 1340 1474 1608 1650 1675 2010 2200 2211 2680 2948 3300 3350 3685 4020 4422 5025 5896 6600 6700 7370 8040 8844 10050 11055 13400 14740 17688 18425 20100 22110 29480 36850 40200 44220 55275 73700 88440 110550 147400 221100 442200