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215819680 = 2551348873
BaseRepresentation
bin11001101110100…
…10010110100000
3120001002202221111
430313102112200
5420222212210
633225433104
75230302616
oct1467222640
9501082844
10215819680
1110090857a
126033b794
1335935a6b
142093d6b6
1513e3188a
hexcdd25a0

215819680 has 24 divisors (see below), whose sum is σ = 509874372. Its totient is φ = 86327808.

The previous prime is 215819633. The next prime is 215819683. The reversal of 215819680 is 86918512.

215819680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 194769936 + 21049744 = 13956^2 + 4588^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (215819683) 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, 674277 + ... + 674596.

Almost surely, 2215819680 is an apocalyptic number.

215819680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215819680 is an abundant number, since it is smaller than the sum of its proper divisors (294054692).

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

215819680 is a wasteful number, since it uses less digits than its factorization.

215819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348888 (or 1348880 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 215819680 is about 14690.8025648703. The cubic root of 215819680 is about 599.8329905544.

The spelling of 215819680 in words is "two hundred fifteen million, eight hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1348873 2697746 5395492 6744365 10790984 13488730 21581968 26977460 43163936 53954920 107909840 215819680