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1444500200 = 23521113172971
BaseRepresentation
bin101011000011001…
…0101001011101000
310201200002012202102
41112012111023220
510424243001300
6355200352532
750540022563
oct12606251350
93650065672
101444500200
11681423420
12343915748
131a035c760
14d9bb74da
1586c350d5
hex561952e8

1444500200 has 192 divisors, whose sum is σ = 4179107520. Its totient is φ = 456192000.

The previous prime is 1444500193. The next prime is 1444500221. The reversal of 1444500200 is 20054441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484715 + ... + 487685.

It is an arithmetic number, because the mean of its divisors is an integer number (21766185).

Almost surely, 21444500200 is an apocalyptic number.

1444500200 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 1444500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089553760).

1444500200 is an abundant number, since it is smaller than the sum of its proper divisors (2734607320).

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

1444500200 is a wasteful number, since it uses less digits than its factorization.

1444500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1444500200 is about 38006.5810090832. The cubic root of 1444500200 is about 1130.4183586800.

Adding to 1444500200 its reverse (20054441), we get a palindrome (1464554641).

The spelling of 1444500200 in words is "one billion, four hundred forty-four million, five hundred thousand, two hundred".