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1442300200 = 2352111016491
BaseRepresentation
bin101010111110111…
…1100000100101000
310201111221102220221
41111331330010220
510423212101300
6355041255424
750512230565
oct12575740450
93644842827
101442300200
11680160540
12343034574
1319ca6c293
14d97a386c
158694d31a
hex55f7c128

1442300200 has 96 divisors (see below), whose sum is σ = 3694986720. Its totient is φ = 519200000.

The previous prime is 1442300159. The next prime is 1442300227. The reversal of 1442300200 is 20032441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218955 + ... + 225445.

It is an arithmetic number, because the mean of its divisors is an integer number (38489445).

Almost surely, 21442300200 is an apocalyptic number.

1442300200 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 1442300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847493360).

1442300200 is an abundant number, since it is smaller than the sum of its proper divisors (2252686520).

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

1442300200 is a wasteful number, since it uses less digits than its factorization.

1442300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1442300200 is about 37977.6276246950. The cubic root of 1442300200 is about 1129.8441845354.

Adding to 1442300200 its reverse (20032441), we get a palindrome (1462332641).

The spelling of 1442300200 in words is "one billion, four hundred forty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 6491 8888 10100 11110 12982 20200 22220 25964 27775 32455 44440 51928 55550 64910 71401 111100 129820 142802 162275 222200 259640 285604 324550 357005 571208 649100 655591 714010 1298200 1311182 1428020 1785025 2622364 2856040 3277955 3570050 5244728 6555910 7140100 7211501 13111820 14280200 14423002 16389775 26223640 28846004 32779550 36057505 57692008 65559100 72115010 131118200 144230020 180287525 288460040 360575050 721150100 1442300200