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212331000 = 23353710111
BaseRepresentation
bin11001010011111…
…10100111111000
3112210112112101010
430221332213320
5413324043000
633022553520
75155532550
oct1451764770
9483475333
10212331000
11a9945472
125b1388a0
1334cb3b5b
14202b2160
1513992d50
hexca7e9f8

212331000 has 128 divisors (see below), whose sum is σ = 757186560. Its totient is φ = 48528000.

The previous prime is 212330999. The next prime is 212331089. The reversal of 212331000 is 133212.

It is a happy number.

It is a super-2 number, since 2×2123310002 = 90168907122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15945 + ... + 26055.

It is an arithmetic number, because the mean of its divisors is an integer number (5915520).

Almost surely, 2212331000 is an apocalyptic number.

212331000 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 212331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378593280).

212331000 is an abundant number, since it is smaller than the sum of its proper divisors (544855560).

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

212331000 is a wasteful number, since it uses less digits than its factorization.

212331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 212331000 is about 14571.5819319661. The cubic root of 212331000 is about 596.5833589809.

Adding to 212331000 its reverse (133212), we get a palindrome (212464212).

The spelling of 212331000 in words is "two hundred twelve million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10111 10500 20222 21000 30333 40444 50555 60666 70777 80888 101110 121332 141554 151665 202220 212331 242664 252775 283108 303330 353885 404440 424662 505550 566216 606660 707770 758325 849324 1011100 1061655 1213320 1263875 1415540 1516650 1698648 1769425 2022200 2123310 2527750 2831080 3033300 3538850 3791625 4246620 5055500 5308275 6066600 7077700 7583250 8493240 8847125 10111000 10616550 14155400 15166500 17694250 21233100 26541375 30333000 35388500 42466200 53082750 70777000 106165500 212331000