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201442140 = 22355181229
BaseRepresentation
bin11000000000111…
…00001101011100
3112001001022200000
430000130031130
5403032122030
631553334300
74664141604
oct1400341534
9461038600
10201442140
11a3788509
1257567390
1332970843
141ca79c04
1512a41860
hexc01c35c

201442140 has 144 divisors (see below), whose sum is σ = 639955680. Its totient is φ = 53187840.

The previous prime is 201442121. The next prime is 201442183. The reversal of 201442140 is 41244102.

201442140 is a `hidden beast` number, since 201 + 4 + 421 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 879546 + ... + 879774.

Almost surely, 2201442140 is an apocalyptic number.

201442140 is a gapful number since it is divisible by the number (20) 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 201442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319977840).

201442140 is an abundant number, since it is smaller than the sum of its proper divisors (438513540).

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

201442140 is a wasteful number, since it uses less digits than its factorization.

201442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201442140 is about 14193.0313886780. The cubic root of 201442140 is about 586.2057969378.

Adding to 201442140 its reverse (41244102), we get a palindrome (242686242).

The spelling of 201442140 in words is "two hundred one million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 181 229 243 270 324 362 405 458 486 540 543 687 724 810 905 916 972 1086 1145 1215 1374 1620 1629 1810 2061 2172 2290 2430 2715 2748 3258 3435 3620 4122 4580 4860 4887 5430 6183 6516 6870 8145 8244 9774 10305 10860 12366 13740 14661 16290 18549 19548 20610 24435 24732 29322 30915 32580 37098 41220 41449 43983 48870 55647 58644 61830 73305 74196 82898 87966 92745 97740 111294 123660 124347 146610 165796 175932 185490 207245 219915 222588 248694 278235 293220 370980 373041 414490 439830 497388 556470 621735 746082 828980 879660 1112940 1119123 1243470 1492164 1865205 2238246 2486940 3357369 3730410 4476492 5595615 6714738 7460820 10072107 11191230 13429476 16786845 20144214 22382460 33573690 40288428 50360535 67147380 100721070 201442140