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143222000 = 2453193769
BaseRepresentation
bin10001000100101…
…10010011110000
3100222111102122112
420202112103300
5243131101000
622113424452
73356236565
oct1042262360
9328442575
10143222000
1173932899
123bb6b128
1323897a5c
141504286c
15c891235
hex88964f0

143222000 has 80 divisors (see below), whose sum is σ = 364634400. Its totient is φ = 54259200.

The previous prime is 143221951. The next prime is 143222021. The reversal of 143222000 is 222341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1432220003 (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 36116 + ... + 39884.

It is an arithmetic number, because the mean of its divisors is an integer number (4557930).

Almost surely, 2143222000 is an apocalyptic number.

143222000 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 143222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182317200).

143222000 is an abundant number, since it is smaller than the sum of its proper divisors (221412400).

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

143222000 is a wasteful number, since it uses less digits than its factorization.

143222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 143222000 is about 11967.5394296405. The cubic root of 143222000 is about 523.2026215083.

Adding to 143222000 its reverse (222341), we get a palindrome (143444341).

It can be divided in two parts, 1432 and 22000, that added together give a palindrome (23432).

The spelling of 143222000 in words is "one hundred forty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3769 3800 4750 7538 7600 9500 15076 18845 19000 30152 37690 38000 60304 71611 75380 94225 143222 150760 188450 286444 301520 358055 376900 471125 572888 716110 753800 942250 1145776 1432220 1507600 1790275 1884500 2864440 3580550 3769000 5728880 7161100 7538000 8951375 14322200 17902750 28644400 35805500 71611000 143222000