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212148 = 22327183
BaseRepresentation
bin110011110010110100
3101210000100
4303302310
523242043
64314100
71542336
oct636264
9353010
10212148
11135432
12a2930
1375741
1457456
1542cd3
hex33cb4

212148 has 36 divisors (see below), whose sum is σ = 550368. Its totient is φ = 68880.

The previous prime is 212141. The next prime is 212161. The reversal of 212148 is 841212.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212141) by changing a digit.

212148 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 11 ways as a sum of consecutive naturals, for example, 2515 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2212148 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 212148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

212148 is an abundant number, since it is smaller than the sum of its proper divisors (338220).

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

212148 is a wasteful number, since it uses less digits than its factorization.

212148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 212148 is about 460.5952670187. The cubic root of 212148 is about 59.6411918896.

The spelling of 212148 in words is "two hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 83 142 166 213 249 284 332 426 498 639 747 852 996 1278 1494 2556 2988 5893 11786 17679 23572 35358 53037 70716 106074 212148