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213343000 = 23531316411
BaseRepresentation
bin11001011011101…
…01101100011000
3112212102221120121
430231311230120
5414103434000
633100403024
75200246153
oct1455655430
9485387517
10213343000
11aa476832
125b546474
1335279680
1420496c9a
1513ae2b1a
hexcb75b18

213343000 has 64 divisors (see below), whose sum is σ = 537657120. Its totient is φ = 78768000.

The previous prime is 213342953. The next prime is 213343021. The reversal of 213343000 is 343312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4795 + ... + 21205.

Almost surely, 2213343000 is an apocalyptic number.

213343000 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 213343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268828560).

213343000 is an abundant number, since it is smaller than the sum of its proper divisors (324314120).

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

213343000 is a wasteful number, since it uses less digits than its factorization.

213343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16445 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213343000 is about 14606.2657787677. The cubic root of 213343000 is about 597.5296577892.

Adding to 213343000 its reverse (343312), we get a palindrome (213686312).

The spelling of 213343000 in words is "two hundred thirteen million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 16411 32822 65644 82055 131288 164110 213343 328220 410275 426686 656440 820550 853372 1066715 1641100 1706744 2051375 2133430 3282200 4102750 4266860 5333575 8205500 8533720 10667150 16411000 21334300 26667875 42668600 53335750 106671500 213343000