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212331200 = 2652132707
BaseRepresentation
bin11001010011111…
…10101011000000
3112210112112122112
430221332223000
5413324044300
633022554452
75155533254
oct1451765300
9483475575
10212331200
11a9945634
125b138a28
1334cb3c83
14202b2264
1513992e35
hexca7eac0

212331200 has 42 divisors (see below), whose sum is σ = 522471396. Its totient is φ = 84931840.

The previous prime is 212331167. The next prime is 212331211. The reversal of 212331200 is 2133212.

It is a happy number.

212331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64754 + ... + 67953.

Almost surely, 2212331200 is an apocalyptic number.

212331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212331200 is an abundant number, since it is smaller than the sum of its proper divisors (310140196).

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

212331200 is a wasteful number, since it uses less digits than its factorization.

212331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132729 (or 132714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212331200 is about 14571.5887946373. The cubic root of 212331200 is about 596.5835462932.

Adding to 212331200 its reverse (2133212), we get a palindrome (214464412).

The spelling of 212331200 in words is "two hundred twelve million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 132707 265414 530828 663535 1061656 1327070 2123312 2654140 3317675 4246624 5308280 6635350 8493248 10616560 13270700 21233120 26541400 42466240 53082800 106165600 212331200