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212031400 = 23527151451
BaseRepresentation
bin11001010001101…
…01011110101000
3112202222022101211
430220311132220
5413240001100
633012322504
75153144230
oct1450653650
9482868354
10212031400
11a9760369
125b013434
1334c0a689
1420234cc0
15139341ba
hexca357a8

212031400 has 48 divisors (see below), whose sum is σ = 563401440. Its totient is φ = 72696000.

The previous prime is 212031397. The next prime is 212031401. The reversal of 212031400 is 4130212.

212031400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212031401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74326 + ... + 77125.

It is an arithmetic number, because the mean of its divisors is an integer number (11737530).

Almost surely, 2212031400 is an apocalyptic number.

212031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212031400 is an abundant number, since it is smaller than the sum of its proper divisors (351370040).

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

212031400 is a wasteful number, since it uses less digits than its factorization.

212031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151474 (or 151465 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212031400 is about 14561.2980190641. The cubic root of 212031400 is about 596.3026329663.

Adding to 212031400 its reverse (4130212), we get a palindrome (216161612).

The spelling of 212031400 in words is "two hundred twelve million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 151451 302902 605804 757255 1060157 1211608 1514510 2120314 3029020 3786275 4240628 5300785 6058040 7572550 8481256 10601570 15145100 21203140 26503925 30290200 42406280 53007850 106015700 212031400