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2064447000 = 233453711331
BaseRepresentation
bin111101100001100…
…1111011000011000
312022212121202220000
41323003033120120
513211444301000
6540504133000
7102105336630
oct17303173030
95285552800
102064447000
1196a365650
12497467160
1326b920495
141582736c0
15c1393000
hex7b0cf618

2064447000 has 640 divisors, whose sum is σ = 9024238080. Its totient is φ = 427680000.

The previous prime is 2064446987. The next prime is 2064447019. The reversal of 2064447000 is 7444602.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6236835 + ... + 6237165.

It is an arithmetic number, because the mean of its divisors is an integer number (14100372).

Almost surely, 22064447000 is an apocalyptic number.

2064447000 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 2064447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512119040).

2064447000 is an abundant number, since it is smaller than the sum of its proper divisors (6959791080).

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

2064447000 is a wasteful number, since it uses less digits than its factorization.

2064447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2064447000 is about 45436.1860195153. The cubic root of 2064447000 is about 1273.3112590553.

It can be divided in two parts, 206444 and 7000, that added together give a square (213444 = 4622).

The spelling of 2064447000 in words is "two billion, sixty-four million, four hundred forty-seven thousand".