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1444222080 = 27325731743
BaseRepresentation
bin101011000010101…
…0001010010000000
310201122120002020200
41112011101102000
510424210101310
6355150405200
750534454000
oct12605212200
93648502220
101444222080
11681253474
12343800800
131a0292ca2
14d9b44000
1586bcc9c0
hex56151480

1444222080 has 768 divisors, whose sum is σ = 6301152000. Its totient is φ = 303464448.

The previous prime is 1444222033. The next prime is 1444222081. The reversal of 1444222080 is 802224441.

1444222080 is a `hidden beast` number, since 14 + 442 + 2 + 208 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1444222081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33586539 + ... + 33586581.

It is an arithmetic number, because the mean of its divisors is an integer number (8204625).

Almost surely, 21444222080 is an apocalyptic number.

1444222080 is a gapful number since it is divisible by the number (10) 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 1444222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150576000).

1444222080 is an abundant number, since it is smaller than the sum of its proper divisors (4856929920).

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

1444222080 is a wasteful number, since it uses less digits than its factorization.

1444222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1444222080 is about 38002.9219929205. The cubic root of 1444222080 is about 1130.3458048344.

It can be divided in two parts, 144 and 4222080, that added together give a palindrome (4222224).

The spelling of 1444222080 in words is "one billion, four hundred forty-four million, two hundred twenty-two thousand, eighty".