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1444334220 = 2233572337449
BaseRepresentation
bin101011000010110…
…1100101010001100
310201122202210002000
41112011230222030
510424222143340
6355153032300
750535431640
oct12605545214
93648683060
101444334220
1168131a74a
12343855690
131a0302044
14d9b72c20
1586c00d30
hex5616ca8c

1444334220 has 384 divisors, whose sum is σ = 5515776000. Its totient is φ = 306561024.

The previous prime is 1444334201. The next prime is 1444334251. The reversal of 1444334220 is 224334441.

It is a happy number.

1444334220 is a `hidden beast` number, since 1 + 4 + 4 + 433 + 4 + 220 = 666.

It is a super-2 number, since 2×14443342202 = 4172202678126016800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3216556 + ... + 3217004.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 21444334220 is an apocalyptic number.

1444334220 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 1444334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

1444334220 is an abundant number, since it is smaller than the sum of its proper divisors (4071441780).

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

1444334220 is a wasteful number, since it uses less digits than its factorization.

1444334220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1444334220 is about 38004.3973771457. The cubic root of 1444334220 is about 1130.3750601915.

Adding to 1444334220 its reverse (224334441), we get a palindrome (1668668661).

The spelling of 1444334220 in words is "one billion, four hundred forty-four million, three hundred thirty-four thousand, two hundred twenty".