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146218112 = 278313763
BaseRepresentation
bin10001011011100…
…01110010000000
3101012010122112122
420231301302000
5244412434422
622301543412
73423555605
oct1055616200
9335118478
10146218112
1175599917
1240b74b68
13243a66c1
14155c26ac
15cc83d42
hex8b71c80

146218112 has 32 divisors (see below), whose sum is σ = 294824880. Its totient is φ = 72222976.

The previous prime is 146218109. The next prime is 146218123. The reversal of 146218112 is 211812641.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3743 + ... + 17505.

Almost surely, 2146218112 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 146218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412440).

146218112 is an abundant number, since it is smaller than the sum of its proper divisors (148606768).

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

146218112 is an equidigital number, since it uses as much as digits as its factorization.

146218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13848 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 146218112 is about 12092.0681440356. The cubic root of 146218112 is about 526.8258266674.

It can be divided in two parts, 14 and 6218112, that added together give a palindrome (6218126).

The spelling of 146218112 in words is "one hundred forty-six million, two hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 10624 13763 27526 55052 110104 220208 440416 880832 1142329 1761664 2284658 4569316 9138632 18277264 36554528 73109056 146218112