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2164212 = 223329691
BaseRepresentation
bin1000010000010111110100
311001221202000
420100113310
51023223322
6114215300
724252441
oct10202764
94057660
102164212
111249006
12884530
135aa0cb
144049c8
152cb3ac
hex2105f4

2164212 has 48 divisors (see below), whose sum is σ = 5812800. Its totient is φ = 695520.

The previous prime is 2164193. The next prime is 2164223. The reversal of 2164212 is 2124612.

2164212 is a `hidden beast` number, since 21 + 642 + 1 + 2 = 666.

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 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, 2787 + ... + 3477.

It is an arithmetic number, because the mean of its divisors is an integer number (121100).

22164212 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 2164212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906400).

2164212 is an abundant number, since it is smaller than the sum of its proper divisors (3648588).

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

2164212 is a wasteful number, since it uses less digits than its factorization.

2164212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

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

The square root of 2164212 is about 1471.1260992858. The cubic root of 2164212 is about 129.3500497990.

Adding to 2164212 its reverse (2124612), we get a palindrome (4288824).

The spelling of 2164212 in words is "two million, one hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 691 783 1044 1382 1566 2073 2764 3132 4146 6219 8292 12438 18657 20039 24876 37314 40078 60117 74628 80156 120234 180351 240468 360702 541053 721404 1082106 2164212