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216082980 = 223251200461
BaseRepresentation
bin11001110000100…
…10101000100100
3120001121011010100
430320102220210
5420304123410
633235224100
75232450351
oct1470225044
9501534110
10216082980
11100a78383
1260448030
13359c8869
14209ab628
1513e848c0
hexce12a24

216082980 has 36 divisors (see below), whose sum is σ = 655452252. Its totient is φ = 57622080.

The previous prime is 216082967. The next prime is 216082981. The reversal of 216082980 is 89280612.

216082980 is a `hidden beast` number, since 21 + 608 + 29 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24980004 + 191102976 = 4998^2 + 13824^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216082981) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 600051 + ... + 600410.

It is an arithmetic number, because the mean of its divisors is an integer number (18207007).

Almost surely, 2216082980 is an apocalyptic number.

216082980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216082980 is an abundant number, since it is smaller than the sum of its proper divisors (439369272).

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

216082980 is a wasteful number, since it uses less digits than its factorization.

216082980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200476 (or 1200471 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 216082980 is about 14699.7612225505. The cubic root of 216082980 is about 600.0768234965.

The spelling of 216082980 in words is "two hundred sixteen million, eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1200461 2400922 3601383 4801844 6002305 7202766 10804149 12004610 14405532 18006915 21608298 24009220 36013830 43216596 54020745 72027660 108041490 216082980