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212445400 = 23526611607
BaseRepresentation
bin11001010100110…
…10100011011000
3112210202100022011
430222122203120
5413341223100
633025235304
75156520226
oct1452324330
9483670264
10212445400
11a9a13412
125b192b34
1335023c4b
1420301b16
15139b6bba
hexca9a8d8

212445400 has 48 divisors (see below), whose sum is σ = 494990640. Its totient is φ = 84796800.

The previous prime is 212445383. The next prime is 212445421. The reversal of 212445400 is 4544212.

It is a happy number.

212445400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131397 + ... + 133003.

It is an arithmetic number, because the mean of its divisors is an integer number (10312305).

Almost surely, 2212445400 is an apocalyptic number.

212445400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212445400 is an abundant number, since it is smaller than the sum of its proper divisors (282545240).

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

212445400 is a wasteful number, since it uses less digits than its factorization.

212445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 212445400 is about 14575.5068522505. The cubic root of 212445400 is about 596.6904824231.

Adding to 212445400 its reverse (4544212), we get a palindrome (216989612).

It can be divided in two parts, 2124 and 45400, that added together give a square (47524 = 2182).

The spelling of 212445400 in words is "two hundred twelve million, four hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 661 1322 1607 2644 3214 3305 5288 6428 6610 8035 12856 13220 16070 16525 26440 32140 33050 40175 64280 66100 80350 132200 160700 321400 1062227 2124454 4248908 5311135 8497816 10622270 21244540 26555675 42489080 53111350 106222700 212445400