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1214444000 = 25537113943
BaseRepresentation
bin100100001100010…
…1111000111100000
310010122012010222102
41020120233013200
54441344202000
6320301425532
742044414030
oct11030570740
93118163872
101214444000
11573581830
1229a86b2a8
131647b0a23
14b740d8c0
15719403d5
hex4862f1e0

1214444000 has 192 divisors, whose sum is σ = 3721116672. Its totient is φ = 378432000.

The previous prime is 1214443981. The next prime is 1214444009. The reversal of 1214444000 is 4444121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214444009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306029 + ... + 309971.

It is an arithmetic number, because the mean of its divisors is an integer number (19380816).

Almost surely, 21214444000 is an apocalyptic number.

1214444000 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 1214444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860558336).

1214444000 is an abundant number, since it is smaller than the sum of its proper divisors (2506672672).

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

1214444000 is a wasteful number, since it uses less digits than its factorization.

1214444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1214444000 is about 34848.8737264205. The cubic root of 1214444000 is about 1066.9051983908.

Adding to 1214444000 its reverse (4444121), we get a palindrome (1218888121).

The spelling of 1214444000 in words is "one billion, two hundred fourteen million, four hundred forty-four thousand".