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213223400 = 23521382009
BaseRepresentation
bin11001011010110…
…00011111101000
3112212012212111222
430231120133220
5414041122100
633054041212
75166240365
oct1455303750
9485185458
10213223400
11aa3a4995
125b4a9208
13352370c0
142046546c
1513abc485
hexcb587e8

213223400 has 48 divisors (see below), whose sum is σ = 533885100. Its totient is φ = 78727680.

The previous prime is 213223357. The next prime is 213223403. The reversal of 213223400 is 4322312.

It can be written as a sum of positive squares in 6 ways, for example, as 97574884 + 115648516 = 9878^2 + 10754^2 .

It is not an unprimeable number, because it can be changed into a prime (213223403) 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, 38405 + ... + 43604.

Almost surely, 2213223400 is an apocalyptic number.

213223400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223400 is an abundant number, since it is smaller than the sum of its proper divisors (320661700).

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

213223400 is a wasteful number, since it uses less digits than its factorization.

213223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82038 (or 82029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 213223400 is about 14602.1710714537. The cubic root of 213223400 is about 597.4179786222.

Adding to 213223400 its reverse (4322312), we get a palindrome (217545712).

The spelling of 213223400 in words is "two hundred thirteen million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 82009 164018 328036 410045 656072 820090 1066117 1640180 2050225 2132234 3280360 4100450 4264468 5330585 8200900 8528936 10661170 16401800 21322340 26652925 42644680 53305850 106611700 213223400