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442200000 = 263551167
BaseRepresentation
bin11010010110110…
…110111111000000
31010211002002100210
4122112312333000
51401200400000
6111513514120
713646431554
oct3226667700
91124062323
10442200000
11207679450
12104112940
13707c8608
1442a2b864
1528c4c350
hex1a5b6fc0

442200000 has 336 divisors, whose sum is σ = 1619146368. Its totient is φ = 105600000.

The previous prime is 442199993. The next prime is 442200007. The reversal of 442200000 is 2244.

It is an interprime number because it is at equal distance from previous prime (442199993) and next prime (442200007).

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 (442200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6599967 + ... + 6600033.

It is an arithmetic number, because the mean of its divisors is an integer number (4818888).

Almost surely, 2442200000 is an apocalyptic number.

442200000 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 442200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809573184).

442200000 is an abundant number, since it is smaller than the sum of its proper divisors (1176946368).

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

442200000 is an equidigital number, since it uses as much as digits as its factorization.

442200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

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

The square root of 442200000 is about 21028.5520186246. The cubic root of 442200000 is about 761.8560360704.

Adding to 442200000 its reverse (2244), we get a palindrome (442202244).

The spelling of 442200000 in words is "four hundred forty-two million, two hundred thousand".