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1442202000 = 243531571531
BaseRepresentation
bin101010111110110…
…0100000110010000
310201111202110012220
41111331210012100
510423200431000
6355035221040
750511341361
oct12575440620
93644673186
101442202000
116800a3788
12342ba7780
1319ca36685
14d9779b68
158692e1a0
hex55f64190

1442202000 has 160 divisors (see below), whose sum is σ = 4682331264. Its totient is φ = 381888000.

The previous prime is 1442201989. The next prime is 1442202029. The reversal of 1442202000 is 2022441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941235 + ... + 942765.

Almost surely, 21442202000 is an apocalyptic number.

1442202000 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 1442202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341165632).

1442202000 is an abundant number, since it is smaller than the sum of its proper divisors (3240129264).

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

1442202000 is a wasteful number, since it uses less digits than its factorization.

1442202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1442202000 is about 37976.3347362538. The cubic root of 1442202000 is about 1129.8185418809.

Adding to 1442202000 its reverse (2022441), we get a palindrome (1444224441).

The spelling of 1442202000 in words is "one billion, four hundred forty-two million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 157 200 240 250 300 314 375 400 471 500 600 628 750 785 942 1000 1200 1256 1500 1531 1570 1884 2000 2355 2512 3000 3062 3140 3768 3925 4593 4710 6000 6124 6280 7536 7655 7850 9186 9420 11775 12248 12560 15310 15700 18372 18840 19625 22965 23550 24496 30620 31400 36744 37680 38275 39250 45930 47100 58875 61240 62800 73488 76550 78500 91860 94200 114825 117750 122480 153100 157000 183720 188400 191375 229650 235500 240367 306200 314000 367440 382750 459300 471000 480734 574125 612400 721101 765500 918600 942000 961468 1148250 1201835 1442202 1531000 1837200 1922936 2296500 2403670 2884404 3062000 3605505 3845872 4593000 4807340 5768808 6009175 7211010 9186000 9614680 11537616 12018350 14422020 18027525 19229360 24036700 28844040 30045875 36055050 48073400 57688080 60091750 72110100 90137625 96146800 120183500 144220200 180275250 240367000 288440400 360550500 480734000 721101000 1442202000