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216570040 = 2356618191
BaseRepresentation
bin11001110100010…
…01100010111000
3120002111220020121
430322021202320
5420420220130
633253503024
75236546351
oct1472114270
9502456217
10216570040
11101280305
1260641a74
1335b3946b
1420a96d28
151402dd7a
hexce898b8

216570040 has 32 divisors (see below), whose sum is σ = 488079360. Its totient is φ = 86486400.

The previous prime is 216570023. The next prime is 216570041. The reversal of 216570040 is 40075612.

216570040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216569987 and 216570014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216570041) 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 7 ways as a sum of consecutive naturals, for example, 22345 + ... + 30535.

It is an arithmetic number, because the mean of its divisors is an integer number (15252480).

Almost surely, 2216570040 is an apocalyptic number.

216570040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216570040 is an abundant number, since it is smaller than the sum of its proper divisors (271509320).

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

216570040 is a wasteful number, since it uses less digits than its factorization.

216570040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 216570040 is about 14716.3188331865. The cubic root of 216570040 is about 600.5273511802.

The spelling of 216570040 in words is "two hundred sixteen million, five hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 661 1322 2644 3305 5288 6610 8191 13220 16382 26440 32764 40955 65528 81910 163820 327640 5414251 10828502 21657004 27071255 43314008 54142510 108285020 216570040