Search a number
-
+
442100200 = 23524351407
BaseRepresentation
bin11010010110011…
…110100111101000
31010210220000110111
4122112132213220
51401134201300
6111511424104
713645534603
oct3226364750
91123800414
10442100200
11207610473
12104085034
1370792069
1442a0333a
1528c2c9ba
hex1a59e9e8

442100200 has 48 divisors (see below), whose sum is σ = 1051807680. Its totient is φ = 172724160.

The previous prime is 442100167. The next prime is 442100201. The reversal of 442100200 is 2001244.

It is not an unprimeable number, because it can be changed into a prime (442100201) 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, 17104 + ... + 34303.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 2442100200 is an apocalyptic number.

442100200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442100200 is an abundant number, since it is smaller than the sum of its proper divisors (609707480).

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

442100200 is a wasteful number, since it uses less digits than its factorization.

442100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51466 (or 51457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 442100200 is about 21026.1789205742. The cubic root of 442100200 is about 761.7987173963.

Adding to 442100200 its reverse (2001244), we get a palindrome (444101444).

The spelling of 442100200 in words is "four hundred forty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 51407 102814 205628 257035 411256 514070 1028140 1285175 2056280 2210501 2570350 4421002 5140700 8842004 10281400 11052505 17684008 22105010 44210020 55262525 88420040 110525050 221050100 442100200