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215675680 = 25511315967
BaseRepresentation
bin11001101101011…
…11001100100000
3120000211110102011
430312233030200
5420203110210
633222402304
75226133033
oct1466571440
9500743364
10215675680
1110081a370
1260290394
13358b535c
142090301a
1513e03d8a
hexcdaf320

215675680 has 192 divisors, whose sum is σ = 592220160. Its totient is φ = 73497600.

The previous prime is 215675633. The next prime is 215675683. The reversal of 215675680 is 86576512.

215675680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 (215675683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3219007 + ... + 3219073.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2215675680 is an apocalyptic number.

215675680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

215675680 is an abundant number, since it is smaller than the sum of its proper divisors (376544480).

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

215675680 is a wasteful number, since it uses less digits than its factorization.

215675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 215675680 is about 14685.9007214403. The cubic root of 215675680 is about 599.6995532818.

The spelling of 215675680 in words is "two hundred fifteen million, six hundred seventy-five thousand, six hundred eighty".