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216541152 = 2532751879
BaseRepresentation
bin11001110100000…
…10011111100000
3120002110102121200
430322002133200
5420413304102
633253121200
75236366212
oct1472023740
9502412550
10216541152
11101260633
1260629200
1335b29279
1420a8a5b2
151402551c
hexce827e0

216541152 has 36 divisors (see below), whose sum is σ = 615789720. Its totient is φ = 72180288.

The previous prime is 216541147. The next prime is 216541177. The reversal of 216541152 is 251145612.

216541152 is a `hidden beast` number, since 2 + 1 + 654 + 1 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375652 + ... + 376227.

It is an arithmetic number, because the mean of its divisors is an integer number (17105270).

Almost surely, 2216541152 is an apocalyptic number.

It is an amenable number.

216541152 is an abundant number, since it is smaller than the sum of its proper divisors (399248568).

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

216541152 is a wasteful number, since it uses less digits than its factorization.

216541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751895 (or 751884 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 216541152 is about 14715.3373050026. The cubic root of 216541152 is about 600.5006488018.

Adding to 216541152 its reverse (251145612), we get a palindrome (467686764).

The spelling of 216541152 in words is "two hundred sixteen million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 751879 1503758 2255637 3007516 4511274 6015032 6766911 9022548 12030064 13533822 18045096 24060128 27067644 36090192 54135288 72180384 108270576 216541152