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142216200 = 233252711287
BaseRepresentation
bin10000111101000…
…00110000001000
3100220121022221200
420132200300020
5242401404300
622040104200
73344550330
oct1036406010
9326538850
10142216200
1173306155
123b765060
1323604cc9
1414c600c0
15c743200
hex87a0c08

142216200 has 144 divisors (see below), whose sum is σ = 545887680. Its totient is φ = 32503680.

The previous prime is 142216187. The next prime is 142216201. The reversal of 142216200 is 2612241.

142216200 is a `hidden beast` number, since 1 + 42 + 2 + 1 + 620 + 0 = 666.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (142216201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6957 + ... + 18243.

Almost surely, 2142216200 is an apocalyptic number.

142216200 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 142216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272943840).

142216200 is an abundant number, since it is smaller than the sum of its proper divisors (403671480).

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

142216200 is a wasteful number, since it uses less digits than its factorization.

142216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142216200 is about 11925.4433879835. The cubic root of 142216200 is about 521.9749844884.

Adding to 142216200 its reverse (2612241), we get a palindrome (144828441).

The spelling of 142216200 in words is "one hundred forty-two million, two hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 11287 12600 22574 33861 45148 56435 67722 79009 90296 101583 112870 135444 158018 169305 203166 225740 237027 270888 282175 316036 338610 395045 406332 451480 474054 507915 564350 632072 677220 711081 790090 812664 846525 948108 1015830 1128700 1185135 1354440 1422162 1580180 1693050 1896216 1975225 2031660 2257400 2370270 2539575 2844324 3160360 3386100 3555405 3950450 4063320 4740540 5079150 5688648 5925675 6772200 7110810 7900900 9481080 10158300 11851350 14221620 15801800 17777025 20316600 23702700 28443240 35554050 47405400 71108100 142216200