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214183168 = 28732157
BaseRepresentation
bin11001100010000…
…10110100000000
3112221000122001221
430301002310000
5414312330133
633130404424
75210345503
oct1461026400
9487018057
10214183168
11aa99aa91
125b890714
13354b1c04
142063513a
1513c0ba2d
hexcc42d00

214183168 has 54 divisors (see below), whose sum is σ = 436227414. Its totient is φ = 104951808.

The previous prime is 214183159. The next prime is 214183171. The reversal of 214183168 is 861381412.

It can be written as a sum of positive squares in 3 ways, for example, as 25725184 + 188457984 = 5072^2 + 13728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1364146 + ... + 1364302.

Almost surely, 2214183168 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 214183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218113707).

214183168 is an abundant number, since it is smaller than the sum of its proper divisors (222044246).

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

214183168 is an frugal number, since it uses more digits than its factorization.

214183168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 232 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 214183168 is about 14634.9980526135. The cubic root of 214183168 is about 598.3130093646.

The spelling of 214183168 in words is "two hundred fourteen million, one hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 157 256 292 314 584 628 1168 1256 2336 2512 4672 5024 5329 9344 10048 10658 11461 18688 20096 21316 22922 40192 42632 45844 85264 91688 170528 183376 341056 366752 682112 733504 836653 1364224 1467008 1673306 2934016 3346612 6693224 13386448 26772896 53545792 107091584 214183168