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142222000 = 2453174789
BaseRepresentation
bin10000111101000…
…10001010110000
3100220121121220111
420132202022300
5242402101000
622040151104
73344603254
oct1036421260
9326547814
10142222000
117330a548
123b768494
132360783b
1414c62264
15c744cba
hex87a22b0

142222000 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 51814400.

The previous prime is 142221997. The next prime is 142222007. The reversal of 142222000 is 222241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142222007) 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 31 ways as a sum of consecutive naturals, for example, 1597956 + ... + 1598044.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2142222000 is an apocalyptic number.

142222000 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 142222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

142222000 is an abundant number, since it is smaller than the sum of its proper divisors (233825360).

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

142222000 is a wasteful number, since it uses less digits than its factorization.

142222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 142222000 is about 11925.6865630453. The cubic root of 142222000 is about 521.9820802899.

Adding to 142222000 its reverse (222241), we get a palindrome (142444241).

The spelling of 142222000 in words is "one hundred forty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 47 50 68 80 85 89 94 100 125 136 170 178 188 200 235 250 272 340 356 376 400 425 445 470 500 680 712 752 799 850 890 940 1000 1175 1360 1424 1513 1598 1700 1780 1880 2000 2125 2225 2350 3026 3196 3400 3560 3760 3995 4183 4250 4450 4700 5875 6052 6392 6800 7120 7565 7990 8366 8500 8900 9400 11125 11750 12104 12784 15130 15980 16732 17000 17800 18800 19975 20915 22250 23500 24208 30260 31960 33464 34000 35600 37825 39950 41830 44500 47000 60520 63920 66928 71111 75650 79900 83660 89000 94000 99875 104575 121040 142222 151300 159800 167320 178000 189125 199750 209150 284444 302600 319600 334640 355555 378250 399500 418300 522875 568888 605200 711110 756500 799000 836600 1045750 1137776 1422220 1513000 1598000 1673200 1777775 2091500 2844440 3026000 3555550 4183000 5688880 7111100 8366000 8888875 14222200 17777750 28444400 35555500 71111000 142222000