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212236000 = 255397547
BaseRepresentation
bin11001010011001…
…11011011100000
3112210100201001121
430221213123200
5413313023000
633020542024
75154655564
oct1451473340
9483321047
10212236000
11a9890059
125b0b1914
1334c7c842
14202896a4
1513974b1a
hexca676e0

212236000 has 96 divisors (see below), whose sum is σ = 527802912. Its totient is φ = 83865600.

The previous prime is 212235983. The next prime is 212236001. The reversal of 212236000 is 632212.

212236000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212236001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387727 + ... + 388273.

It is an arithmetic number, because the mean of its divisors is an integer number (5497947).

Almost surely, 2212236000 is an apocalyptic number.

212236000 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 212236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263901456).

212236000 is an abundant number, since it is smaller than the sum of its proper divisors (315566912).

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

212236000 is an equidigital number, since it uses as much as digits as its factorization.

212236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212236000 is about 14568.3217976540. The cubic root of 212236000 is about 596.4943723301.

Adding to 212236000 its reverse (632212), we get a palindrome (212868212).

The spelling of 212236000 in words is "two hundred twelve million, two hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 547 776 800 970 1000 1094 1552 1940 2000 2188 2425 2735 3104 3880 4000 4376 4850 5470 7760 8752 9700 10940 12125 13675 15520 17504 19400 21880 24250 27350 38800 43760 48500 53059 54700 68375 77600 87520 97000 106118 109400 136750 194000 212236 218800 265295 273500 388000 424472 437600 530590 547000 848944 1061180 1094000 1326475 1697888 2122360 2188000 2652950 4244720 5305900 6632375 8489440 10611800 13264750 21223600 26529500 42447200 53059000 106118000 212236000