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212328 = 2333983
BaseRepresentation
bin110011110101101000
3101210021000
4303311220
523243303
64315000
71543014
oct636550
9353230
10212328
11135586
12a2a60
137584c
1457544
1542da3
hex33d68

212328 has 32 divisors (see below), whose sum is σ = 590400. Its totient is φ = 70704.

The previous prime is 212297. The next prime is 212353. The reversal of 212328 is 823212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212328.

It is an unprimeable number.

212328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2212328 is an apocalyptic number.

It is an amenable number.

212328 is an abundant number, since it is smaller than the sum of its proper divisors (378072).

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

212328 is a wasteful number, since it uses less digits than its factorization.

212328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212328 is about 460.7906249046. The cubic root of 212328 is about 59.6580549282.

The spelling of 212328 in words is "two hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 983 1966 2949 3932 5898 7864 8847 11796 17694 23592 26541 35388 53082 70776 106164 212328