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216253040 = 2452703163
BaseRepresentation
bin11001110001111…
…00001001110000
3120001220210101212
430320330021300
5420330044130
633243015252
75234056223
oct1470741160
9501823355
10216253040
11101084123
126050a528
1335a580a3
1420a135ba
1513eb9e95
hexce3c270

216253040 has 20 divisors (see below), whose sum is σ = 502788504. Its totient is φ = 86501184.

The previous prime is 216253013. The next prime is 216253043. The reversal of 216253040 is 40352612.

216253040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 216252997 and 216253015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216253043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1351502 + ... + 1351661.

Almost surely, 2216253040 is an apocalyptic number.

216253040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216253040 is an abundant number, since it is smaller than the sum of its proper divisors (286535464).

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

216253040 is a wasteful number, since it uses less digits than its factorization.

216253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703176 (or 2703170 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 216253040 is about 14705.5445325904. The cubic root of 216253040 is about 600.2342048645.

The spelling of 216253040 in words is "two hundred sixteen million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2703163 5406326 10812652 13515815 21625304 27031630 43250608 54063260 108126520 216253040