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1444422200 = 2352133471601
BaseRepresentation
bin101011000011000…
…0010001000111000
310201122221020202112
41112012002020320
510424233002300
6355154551452
750536246304
oct12606021070
93648836675
101444422200
1168137a861
12343898588
131a03330c0
14d9b96d04
1586c1be35
hex56182238

1444422200 has 96 divisors (see below), whose sum is σ = 3629298960. Its totient is φ = 531456000.

The previous prime is 1444422143. The next prime is 1444422209. The reversal of 1444422200 is 22244441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444422209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901400 + ... + 903000.

Almost surely, 21444422200 is an apocalyptic number.

1444422200 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 1444422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814649480).

1444422200 is an abundant number, since it is smaller than the sum of its proper divisors (2184876760).

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

1444422200 is a wasteful number, since it uses less digits than its factorization.

1444422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1444422200 is about 38005.5548571521. The cubic root of 1444422200 is about 1130.3980115687.

Adding to 1444422200 its reverse (22244441), we get a palindrome (1466666641).

The spelling of 1444422200 in words is "one billion, four hundred forty-four million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 347 520 650 694 1300 1388 1601 1735 2600 2776 3202 3470 4511 6404 6940 8005 8675 9022 12808 13880 16010 17350 18044 20813 22555 32020 34700 36088 40025 41626 45110 64040 69400 80050 83252 90220 104065 112775 160100 166504 180440 208130 225550 320200 416260 451100 520325 555547 832520 902200 1040650 1111094 2081300 2222188 2777735 4162600 4444376 5555470 7222111 11110940 13888675 14444222 22221880 27777350 28888444 36110555 55554700 57776888 72221110 111109400 144442220 180552775 288884440 361105550 722211100 1444422200