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146216 = 2372373
BaseRepresentation
bin100011101100101000
321102120102
4203230220
514134331
63044532
71146200
oct435450
9242512
10146216
119a944
1270748
1351725
143b400
152d4cb
hex23b28

146216 has 24 divisors (see below), whose sum is σ = 319770. Its totient is φ = 62496.

The previous prime is 146213. The next prime is 146221. The reversal of 146216 is 612641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 23716 = 350^2 + 154^2 .

It is not an unprimeable number, because it can be changed into a prime (146213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206 + ... + 578.

2146216 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 146216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159885).

146216 is an abundant number, since it is smaller than the sum of its proper divisors (173554).

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

146216 is a wasteful number, since it uses less digits than its factorization.

146216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 146216 is about 382.3820079449. The cubic root of 146216 is about 52.6823290134.

Adding to 146216 its reverse (612641), we get a palindrome (758857).

The spelling of 146216 in words is "one hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 373 392 746 1492 2611 2984 5222 10444 18277 20888 36554 73108 146216