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2094444000 = 253353114143
BaseRepresentation
bin111110011010110…
…1010110111100000
312101222001210001000
41330311222313200
513242134202000
6543455112000
7102621323505
oct17465526740
95358053030
102094444000
11985293860
124a5512600
13274bc3c9c
1415c2414ac
15c3d1b000
hex7cd6ade0

2094444000 has 768 divisors, whose sum is σ = 8717829120. Its totient is φ = 483840000.

The previous prime is 2094443933. The next prime is 2094444007. The reversal of 2094444000 is 4444902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094444007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48707979 + ... + 48708021.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 22094444000 is an apocalyptic number.

2094444000 is a gapful number since it is divisible by the number (20) 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 2094444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

2094444000 is an abundant number, since it is smaller than the sum of its proper divisors (6623385120).

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

2094444000 is a wasteful number, since it uses less digits than its factorization.

2094444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2094444000 is about 45765.0958701061. The cubic root of 2094444000 is about 1279.4488186792.

Adding to 2094444000 its reverse (4444902), we get a palindrome (2098888902).

It can be divided in two parts, 209444 and 4000, that added together give a square (213444 = 4622).

The spelling of 2094444000 in words is "two billion, ninety-four million, four hundred forty-four thousand".