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213332 = 22719401
BaseRepresentation
bin110100000101010100
3101211122012
4310011110
523311312
64323352
71545650
oct640524
9354565
10213332
11136309
12a3558
1376142
1457a60
1543322
hex34154

213332 has 24 divisors (see below), whose sum is σ = 450240. Its totient is φ = 86400.

The previous prime is 213329. The next prime is 213337. The reversal of 213332 is 233312.

Adding to 213332 its reverse (233312), we get a palindrome (446644).

It can be divided in two parts, 213 and 332, that added together give a palindrome (545).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (18760).

2213332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225120).

213332 is an abundant number, since it is smaller than the sum of its proper divisors (236908).

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

213332 is a wasteful number, since it uses less digits than its factorization.

213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its digits is 108, while the sum is 14.

The square root of 213332 is about 461.8787719738. The cubic root of 213332 is about 59.7519388037.

The spelling of 213332 in words is "two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 401 532 802 1604 2807 5614 7619 11228 15238 30476 53333 106666 213332